"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.

- Define Algorithm Explain Flowchart With Diagram
- Explain Algorithm And Flowchart With Diagram
- Euclidean algorithm - Flowchart | Basic Flowchart Symbols and ...
- Explain Flowchart Diagrams
- Basic Flowchart Symbols and Meaning | Simple Flow Chart ...
- Basic Flowchart Symbols and Meaning | Euclidean algorithm ...
- Basic Flowchart Symbols and Meaning | Process Flowchart ...
- Basic Flowchart Symbols and Meaning | Flowchart Definition ...
- With The Help Of Flow Chart Explain Procedure Of Algorithm
- Basic Flowchart Symbols and Meaning | Flowchart design ...
- Types of Flowcharts | Basic Flowchart Symbols and Meaning ...
- Basic Flowchart Symbols and Meaning | Types of Flowcharts ...
- Solving quadratic equation algorithm - Flowchart | Basic Flowchart ...
- Process Flowchart | Technical Flow Chart | Types of Flowcharts ...
- Basic Flowchart Symbols and Meaning | Simple Flow Chart ...
- Process Flowchart | Basic Flowchart Symbols and Meaning ...
- Flowchart Definition | Gant Chart in Project Management | Flowchart ...
- Define Order Degree Algorithm Flowchart
- Basic Flowchart Symbols and Meaning | Euclidean algorithm ...
- Flowchart Algorithm Examples
- 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