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# Euclidean algorithm - Flowchart

"In mathematics, the Euclidean algorithm, or Euclid's algorithm, is a method for computing the greatest common divisor (GCD) of two (usually positive) integers, also known as the greatest common factor (GCF) or highest common factor (HCF). ...
The GCD of two positive integers is the largest integer that divides both of them without leaving a remainder (the GCD of two integers in general is defined in a more subtle way).
In its simplest form, Euclid's algorithm starts with a pair of positive integers, and forms a new pair that consists of the smaller number and the difference between the larger and smaller numbers. The process repeats until the numbers in the pair are equal. That number then is the greatest common divisor of the original pair of integers.
The main principle is that the GCD does not change if the smaller number is subtracted from the larger number. ... Since the larger of the two numbers is reduced, repeating this process gives successively smaller numbers, so this repetition will necessarily stop sooner or later - when the numbers are equal (if the process is attempted once more, one of the numbers will become 0)." [Euclidean algorithm. Wikipedia]
The flowchart example "Euclidean algorithm" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.
Euclid's algorithm flow chart
Used Solutions

## Euclidean algorithm - Flowchart

"In elementary algebra, a quadratic equation (from the Latin quadratus for "square") is any equation having the form
ax^2+bx+c=0
where x represents an unknown, and a, b, and c are constants with a not equal to 0. If a = 0, then the equation is linear, not quadratic. The constants a, b, and c are called, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.
Because the quadratic equation involves only one unknown, it is called "univariate". The quadratic equation only contains powers of x that are non-negative integers, and therefore it is a polynomial equation, and in particular it is a second degree polynomial equation since the greatest power is two.
Quadratic equations can be solved by a process known in American English as factoring and in other varieties of English as factorising, by completing the square, by using the quadratic formula, or by graphing." [Quadratic equation. Wikipedia]
The flowchart example "Solving quadratic equation algorithm" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.
Used Solutions

## Euclidean algorithm - Flowchart

"In mathematics and computer science, an algorithm ... is a step-by-step procedure for calculations. Algorithms are used for calculation, data processing, and automated reasoning.
An algorithm is an effective method expressed as a finite list of well-defined instructions for calculating a function. Starting from an initial state and initial input (perhaps empty), the instructions describe a computation that, when executed, proceeds through a finite number of well-defined successive states, eventually producing "output" and terminating at a final ending state. The transition from one state to the next is not necessarily deterministic; some algorithms, known as randomized algorithms, incorporate random input." [Algorithm. Wikipedia]
The algorithm flow chart example "Selection sorting method" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Flowcharts solution from the area "What is a Diagram" of ConceptDraw Solution Park.
Flowchart - Selection sorting method
Used Solutions

## Euclidean algorithm - Flowchart

This medical flowchart sample shows assessment and treatment algorithm for overweight and obesity.
It was drawn on the base of Wikimedia Commons file: Assessment and treatment algorithm for overweight and obesity.png. [commons.wikimedia.org/ wiki/ File:Assessment_ and_ treatment_ algorithm_ for_ overweight_ and_ obesity.png]
"A medical algorithm is any computation, formula, statistical survey, nomogram, or look-up table, useful in healthcare. Medical algorithms include decision tree approaches to healthcare treatment (e.g., if symptoms A, B, and C are evident, then use treatment X) and also less clear-cut tools aimed at reducing or defining uncertainty." [Medical algorithm. Wikipedia]
The medical flow chart example "Assessment and treatment algorithm for overweight and obesity" was designed using ConceptDraw PRO software extended with Healthcare Workflow Diagrams solution from Business Processes area of ConceptDraw Solution Park.
Medical flowchart
Used Solutions

## Diagram Flow Chart

ConceptDraw DIAGRAM is a software for producing flow charts. The software delivers built-in object libraries with vector stencils that allows you to use RapidDraw technology. By clicking on direction arrows one can add a new object to flowchart. Users can start drawing their own flowchart diagrams in fast and simple way.

## Ordering Process Flowchart. Flowchart Examples

A flowchart is a widely used type of diagram that visually represents an algorithm, workflow or process, using the boxes of various kinds to depict the steps and connecting them with arrows to show the order of execution these steps. Еhe ConceptDraw DIAGRAM supplied with Accounting Flowcharts Solution from the Finance and Accounting Area of ConceptDraw Solution Park is a powerful diagramming and vector drawing software which ideally suits for designing Ordering Process Flowchart of any complexity.

## Flow Chart Design - How to Design a Good Flowchart

Use ConceptDraw DIAGRAM business diagramming and business graphics software for general diagramming purposes, it inludes tousands colored professional flowchart symbols, examples and samples which saves time when you prepare documents, professional presentations or make an explanation of process flow diagram.

## Types of Flowcharts

A Flowchart is a graphically representation of the process, algorithm or the step-by-step solution of the problem. There are ten types of Flowcharts. Using the Flowcharts solution from the Diagrams area of ConceptDraw Solution Park you can easy and quickly design the Flowchart of any of these types.
How to Simplify Flow Charting

## Euclidean algorithm - Flowchart

This medical algorithm flowchart sample depicts cardiopulmonary resuscitation (CPR) of newborn infants.
It was drawn on the base of Wikimedia Commons file: KPR novorozence.png. [commons.wikimedia.org/ wiki/ File:KPR_ novorozence.png]
"Cardiopulmonary resuscitation (CPR) is an emergency procedure that combines chest compressions often with artificial ventilation in an effort to manually preserve intact brain function until further measures are taken to restore spontaneous blood circulation and breathing in a person who is in cardiac arrest. It is recommended in those who are unresponsive with no breathing or abnormal breathing" [Cardiopulmonary resuscitation. Wikipedia]
The medical algorithm flow chart example "Cardiopulmonary resuscitation of newborn infants" was designed using ConceptDraw PRO software extended with Healthcare Workflow Diagrams solution from Business Processes area of ConceptDraw Solution Park.
Medical algorithm flowchart
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## Euclidean algorithm - Flowchart

This scatter graph sample illustrates k-medoids algorithm.
"The k-medoids algorithm is a clustering algorithm related to the k-means algorithm and the medoidshift algorithm. Both the k-means and k-medoids algorithms are partitional (breaking the dataset up into groups) and both attempt to minimize the distance between points labeled to be in a cluster and a point designated as the center of that cluster." [K-medoids. Wikipedia]
The scatterplot example "k-Medoid" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Scatter Diagrams solution from the Graphs and Charts area of ConceptDraw Solution Park.
Scatterplot
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## Euclidean algorithm - Flowchart

This scatter plot sample is used to illustrate the k-medoid clustering algorithm.
"The k-medoids algorithm is a clustering algorithm related to the k-means algorithm and the medoidshift algorithm. Both the k-means and k-medoids algorithms are partitional (breaking the dataset up into groups) and both attempt to minimize the distance between points labeled to be in a cluster and a point designated as the center of that cluster." [en.wikipedia.org/ wiki/ K-medoids]
The scatterplot example "k-Medoid clustering" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Basic Scatter Diagrams solution from the Graphs and Charts area of ConceptDraw Solution Park.
Scatterplot
Used Solutions

## Amazon Web Services Diagrams diagramming tool for architecture

The AWS Architecture Diagrams solution includes icons, sample and templates for several Amazon Web Services products and resources, to be used when creating architecture diagrams. The icons are designed to be simple so that you can easily incorporate them in your diagrams and put them in your whitepapers, presentations, datasheets, posters or any technical material you like. Here you will find an official collection of AWS resources that will help you build great AWS Architecture diagrams.

## Conference Planning

Mind map that can be useful when planning the logistics of a conference.

## Flowchart Software

ConceptDraw DIAGRAM is a Mac OS X and Windows software. Numerous vector stencils, samples and templates created by designers are included in the basic package. This is classic flowchart maker which exactly follows the industry standards using flowchart symbols geathered during a ten years into solution park.

## How To Create a FlowChart using ConceptDraw

Have you ever needed a flowchart, but did not have the time or tools to build one? Rapid Draw allows you to build a professional flowchart quickly and easily. You have the ability to add your own shapes to Rapid Draw’s built in shape library.

## Basic Diagramming

Create flowcharts, org charts, shipping flowcharts, floor plans, business diagrams and more with ConceptDraw. Includes 1000s of professional-looking business templates that you can modify and make your own.

## Create Flow Chart on Mac

Use ConceptDraw DIAGRAM diagramming and business graphics software to draw your own flowcharts of business processes. Start creating your own Process Flow Diagram with ConceptDraw DIAGRAM and accomplish great results in the moment.
Extended flowchart maker features of Rapid Draw functionality was developed to create flow chart on the Mac OS X platform. You will save time by quick and simple flowchart maker due to Rapid Draw.

## Flow Chart

A Flow Chart is a type of diagram which visualizes a process, algorithm of a program or workflow. The steps / operations are represented as boxes of various types and are connected by arrows which show the flow of the process.
But how to design a Flow Chart fast and easy? We recommend to use a powerful ConceptDraw DIAGRAM diagramming and vector drawing software extended with Flowcharts Solution from the "Diagrams" Area of ConceptDraw Solution Park.

## Graphical Symbols to use in EPC diagrams

Event-Driven Process Chain Diagrams for improvement throughout an organisation.
ConceptDraw DIAGRAM - software that reduces the time needed to create a business process model.

## Flowchart Programming Project. Flowchart Examples

Flowcharts can be used in designing and documenting both simple and complex processes or programs and, similar to the other types of diagrams, they can help visualize what happens and so help understand some definite process, and, as a result, find flaws, bottlenecks and other features within it.