"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.
- How Do I Write An Algorithm To Find The Largest Of Two Positive ...
- Flow Chart For Greatest Common Division Of Two Numbers
- Solving quadratic equation algorithm - Flowchart | Basic Flowchart ...
- Write An Algorithum And Draw A Flow Chart To Find Gcd Of Two
- Basic Flowchart Symbols and Meaning | Euclidean algorithm ...
- Euclidean algorithm - Flowchart | Solving quadratic equation ...
- How To Write An Algorithm Flowchart
- Solving quadratic equation algorithm - Flowchart
- Write An Algorithm And Draw A Flowchart
- Solving quadratic equation algorithm - Flowchart | Basic Flowchart ...
- Euclidean algorithm - Flowchart | Solving quadratic equation ...
- Solving quadratic equation algorithm - Flowchart
- Process Flowchart | Basic Flowchart Symbols and Meaning ...
- Basic Flowchart Symbols and Meaning | Euclidean algorithm ...
- Euclidean algorithm - Flowchart | Solving quadratic equation ...
- Solving quadratic equation algorithm - Flowchart | Basic Flowchart ...
- Euclidean algorithm - Flowchart | Basic Flowchart Symbols and ...
- Solving quadratic equation algorithm - Flowchart | Basic Flowchart ...
- Basic Flowchart Symbols and Meaning | Euclidean algorithm ...
- Algorithm Flowchart Example