# 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

- Flow Chart For Greatest Common Division Of Two Numbers
- Euclidean algorithm - Flowchart | Algorithm To Find The Largest Of ...
- Flow Chart For Division Of Two Numbers
- Draw A Flow Chart Of Subtract Two Integers
- Greatest Common Divisor Explaination And Flow Chart
- Flowchart For Finding Gcd Of Two Positive Numbers
- Draw Flow Chart To Find Greater Between Two Numbers
- Algorithm Of Greatest Common Division
- Flowchart To Find LCM Of Two Numbers
- Flow Chat For Dividing Two Number
- Flowchart To Find GCD Of Two Number
- Algorithm To Division Of Two Numbers By Flow Chart
- Euclidean algorithm - Flowchart | Basic Flowchart Symbols and ...
- Flowchart That Divides Two Numbers
- Flowchart To Subtract Two Number
- Algorithm To Find The Greatest Of Two Numbers
- Flowchart To Find Largest Of 4 Numbers
- Euclidean algorithm - Flowchart | Process Flowchart | Flow chart ...
- Flow Chart To Subtract Two Numbers
- Greatest Common Divisor Algorithm And Flowchart
- ERD | Entity Relationship Diagrams, ERD Software for Mac and Win
- Flowchart | Basic Flowchart Symbols and Meaning
- Flowchart | Flowchart Design - Symbols, Shapes, Stencils and Icons
- Flowchart | Flow Chart Symbols
- Electrical | Electrical Drawing - Wiring and Circuits Schematics
- Flowchart | Common Flowchart Symbols
- Flowchart | Common Flowchart Symbols