# 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. Read more

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. Read more

## Mathematics

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

## Cross-Functional Flowcharts

Cross-functional flowcharts are powerful and useful tool for visualizing and analyzing complex business processes which requires involvement of multiple people, teams or even departments. They let clearly represent a sequence of the process steps, the order of operations, relationships between processes and responsible functional units (such as departments or positions). Read more

## Audit Flowcharts

Audit flowcharts solution extends ConceptDraw PRO software with templates, samples and library of vector stencils for drawing the audit and fiscal flow charts. Read more

## Flowcharts

The Flowcharts Solution for ConceptDraw PRO v10 is a comprehensive set of examples and samples in several different color themes for professionals that need to graphically represent a process. Solution value is added by basic flow chart template and shapes' library of Flowchart notation. ConceptDraw PRO flow chart creator lets one depict a processes of any complexity and length, as well design of the flowchart either vertically or horizontally. Read more

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