"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.
- Math Topics Flow Chart Examples
- Solving quadratic equation algorithm - Flowchart | Euclidean ...
- Euclidean algorithm - Flowchart | Basic Flowchart Symbols and ...
- Algorithm And Flowchart Euclidean Algorithm To Find Gcd
- Solving quadratic equation algorithm - Flowchart | Contoh Flowchart ...
- Euclidean algorithm - Flowchart | Solving quadratic equation ...
- Flowchart Programming Project. Flowchart Examples | Basic ...
- Euclidean algorithm - Flowchart | Simple Flow Chart | Flowchart ...
- Example Of Algorithm And Flowchart
- Example Draw Algorithim Flow Chart
- Algorithms And Flowcharts In C Examples
- Basic Flowchart Symbols and Meaning | Euclidean algorithm ...
- Examples Of Flowcharts For The Scientific Method
- Flowchart Software | Flowchart Software | Process Flowchart ...
- Basic Flowchart Symbols and Meaning | Simple Flow Chart ...
- Euclidean algorithm - Flowchart | Solving quadratic equation ...
- Scientific Symbols Chart | Euclidean algorithm - Flowchart ...
- Algorithm And Flowchart Examples In C
- Basic Flowchart Symbols and Meaning | Flowcharts | ConceptDraw ...