"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.

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.

## Types of Flowchart - Overview

When designing a process or an instruction in clear way, you should consider creating a flowchart. A Process Flow Diagram is the method. You can avoid wasting a lot of time understanding complex concepts as they get clear with different diagrams."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.

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.

## Flowcharts

The Flowcharts solution for ConceptDraw PRO is a comprehensive set of examples and samples in several varied color themes for professionals that need to represent graphically a process. Solution value is added by the basic flow chart template and shapes' libraries of flowchart notation. ConceptDraw PRO flow chart creator lets one depict the processes of any complexity and length, as well as design the Flowchart either vertically or horizontally.

## 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.## Mathematics

Mathematics solution extends ConceptDraw PRO software with templates, samples and libraries of vector stencils for drawing the mathematical illustrations, diagrams and charts.

## Basic Diagramming

Mathematical Drawing Software - Draw mathematical illustration diagrams easily from examples and templates!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.

HelpDesk

## How to Create a Venn Diagram in ConceptDraw PRO

Venn diagrams were invented by John Venn as a method of depicting relationships between different components. A Venn diagram consists of two or more circles. Each circle represents a specific group or set. The entities which are depicted by circles generally have some common characteristics. A Venn Diagram shows all the possible logical relations between these entities. Any properties that belong to more than one set should be indicated in the sections where the circles overlap. A Venn Diagram can be useful to visually summarize the status and future viability of a project. ConceptDraw PRO allows you to make a Venn diagrams using the Venn Diagrams solution.## Simple Drawing Applications for Mac

ConceptDraw gives the ability to draw simple diagrams like flowcharts, block diagrams, bar charts, histograms, pie charts, divided bar diagrams, line graphs, area charts, scatter plots, circular arrows diagrams, Venn diagrams, bubble diagrams, concept maps, and others.## The Best Drawing Program for Mac

ConceptDraw PRO is the professional business graphic software for drawing diagrams and charts with great visual appeal on Mac OS X.## Best Vector Drawing Application for Mac OS X

ConceptDraw PRO creates drawings, diagrams and charts with great visual appeal in Mac OS X.HelpDesk

## How to Draw Geometric Shapes in ConceptDraw PRO

Knowledge of geometry grants people good logic, abstract and spatial thinking skills. The object of study of geometry are the size, shape and position, the 2-dimensional and 3-dimensional shapes. Geometry is related to many other areas in math, and is used daily by engineers, architects, designers and many other professionals. Today, the objects of geometry are not only shapes and solids. It deals with properties and relationships and looks much more about analysis and reasoning. Geometry drawings can be helpful when you study the geometry, or need to illustrate the some investigation related to geometry. ConceptDraw PRO allows you to draw plane and solid geometry shapes quickly and easily.## Bubble Diagrams

Bubble diagrams have enjoyed great success in software engineering, architecture, economics, medicine, landscape design, scientific and educational process, for ideas organization during brainstorming, for making business illustrations, presentations, planning, design, and strategy development. They are popular because of their simplicity and their powerful visual communication attributes.

## Marketing Diagrams

Marketing Diagrams solution extends ConceptDraw PRO diagramming software with abundance of samples, templates and vector design elements intended for easy graphical visualization and drawing different types of Marketing diagrams and graphs, including Branding Strategies Diagram, Five Forces Model Diagram, Decision Tree Diagram, Puzzle Diagram, Step Diagram, Process Chart, Strategy Map, Funnel Diagram, Value Chain Diagram, Ladder of Customer Loyalty Diagram, Leaky Bucket Diagram, Promotional Mix Diagram, Service-Goods Continuum Diagram, Six Markets Model Diagram, Sources of Customer Satisfaction Diagram, etc. Analyze effectively the marketing activity of your company and apply the optimal marketing methods with ConceptDraw PRO software.

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