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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

## PROBLEM ANALYSIS. Root Cause Analysis Tree Diagram

Root Cause Analysis Tree Diagram. Use the Root Cause Diagram to perform visual root cause analysis. Root Cause Analysis Tree Diagram is constructed separately for each highly prioritized factor. The goal of this is to find the root causes for the factor and list possible corrective action.
ConceptDraw Office suite is a software for problem analysis.
7MP Tools
HelpDesk

## How To Create Root Cause Analysis Diagram Using Solutions

Root Cause Analysis diagram is used to analyze the root causes of factors that influence the problem. If the certain factor is the root cause, this mean that its vanishing will help to prevent the further recurrence of the problem. Root Cause diagram helps to identify the root causes for a factor and then propose possible corrective actions. A diagram is constructed separately for each high priority factor. The ability to create a RCA tree diagram from a mind map is supported by the ConceptDraw Seven Management and Planning Tools solution.

## Affinity Diagram

The affinity diagram is a business tool used to organize ideas and data. It is one of the Seven Management and Planning Tools. But how design the Affinity Diagram quick and easy? ConceptDraw DIAGRAM diagramming and vector drawing software offers the Seven Management and Planning Tools Solution from the Management Area.

## In searching of alternative to MS Visio for MAC and PC with ConceptDraw DIAGRAM

Many of us are acquainted with such a software product as MS Visio, which beyond any doubt, is a powerful and multifunctional tool. However, there may occur instances when this program turns incapable of meeting certain users' requirements; and then, the most optimum solution is quite difficult to find. But there is always an alternative. ConceptDraw DIAGRAM from CS Odessa Corporation has been developed to satisfy all your needs as an alternative product to Visio.

Visio for mac — ConceptDraw as an alternative to MS Visio. ConceptDraw has been developed to satisfy all your needs as a fully-functioned alternative product to MS Visio for Mac.

## Model Based Systems Engineering

ConceptDraw DIAGRAM is a professional diagramming and vector drawing software. Now, enhanced with SysML Solution from the Software Development Area of ConceptDraw Solution Park, ConceptDraw DIAGRAM became an ideal software for model based systems engineering (MBSE).
HelpDesk

## How to Draw a Fishbone Diagram

Fishbone (Ishikawa) Diagram is often used in business to determine the cause of some problem. A Fishbone diagram is also called a cause-and-effect diagram. The main goal of the Fishbone diagram is to illustrate in a graphical way the relationship between a given outcome and all the factors that influence this outcome. The complete diagram resembles a fish skeleton as its name implies. Cause and Effect analysis is used in management to identify the possible causes of a problem in order to eliminate them. The ability to create a Fishbone Diagram is supported by the Fishbone Diagram solution.

## Example of Organizational Chart

Example of Organizational Chart - Lots of organization chart examples created by ConceptDraw Organizational Chart Software. Include company organizational chart, hospital organizational chart, hotel Organizational chart, corporate organizational chart samples etc
How to draw an Organizational Chart

## Flowchart of Products. Flowchart Examples

This sample shows the Flowchart of the Sustainment and Disposal.
A Flowchart is a graphically representation of the process that step-by-step lead to the solution the problem. The geometric figures on the Flowchart represent the steps of the process and are connected with arrows that show the sequence of the actions. The Flowcharts are widely used in engineering, architecture, science, analytics, government, politics, business, marketing, manufacturing, administration, etc.

## Family Emergency Plan

Drawing of Family Emergency Plan is quite complex process. How can you make it? Usually you draw it accurately on the sheet of paper and this process takes much time. ConceptDraw DIAGRAM diagramming and vector drawing software offers you Fire and Emergency Plans Solution - the new method of quickly drawing Family Emergency Plan of any complexity.

## Fishbone Diagram Procedure

ConceptDraw DIAGRAM diagramming and vector drawing software enhanced with Fishbone Diagrams solution from the Management area of ConceptDraw Solution Park gives the ability to draw Fishbone diagram, which identifies many possible causes for an effect for problem solving. Fishbone Diagram procedure of creation includes the set of steps easy for execution in ConceptDraw DIAGRAM.

## Competitor Analysis

Competitor analysis is a first and obligatory step in elaboration the proper corporate marketing strategy and creating sustainable competitive advantage. Use powerful opportunities of numerous solutions from ConceptDraw Solution Park for designing illustrative diagrams, charts, matrices which are necessary for effective competitor analysis.

## Influence Diagram

This sample shows the Influence Diagram. It was created in ConceptDraw DIAGRAM diagramming and vector drawing software using the Basic Diagramming Solution from the Universal Diagramming area of ConceptDraw Solution Park.
Influence diagram represents the directed acyclic graph with three types of nodes and three types of arcs that connect the nodes. Decision node is drawn as a rectangle, Uncertainty node is drawn as an oval, Value node is drawn as an octagon.