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"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.
Euclid's algorithm flow chart
Euclid's algorithm flow chart, terminator, start, end, rectangle, process, action, decision, connector,

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ConceptDraw DIAGRAM ector diagramming software and ConceptDraw Solution Park provide a wide variety of diagrams, organizational charts, business charts and flowchart examples, templates and samples. You are free to choose any example or template you are interested in from the ConceptDraw STORE, then use it to simplify your work at the designing professional-looking flowcharts and diagrams. As for flowcharts, turn your attention for the Flowcharts solution from the "Diagrams" area of ConceptDraw Solution Park, Process Flowcharts and Cross-Functional Flowcharts solutions from the Business Processes area, Accounting Flowcharts and Audit Flowcharts solutions from the Finance and Accounting area, which are completely devoted to flowcharts creation and provide an enormous collection of helpful flowchart templates and samples. Each of them is specially developed, well thought-out, dedicated to a certain thematic and carries a specific purpose. You need only to determine with your needs and to decide which one corresponds them the best and suits for you.

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