## Viewing topic: Euclidean Algorithm

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#### Euclidean Algorithm

• Definition: The Euclidean algorithm, also called Euclid's algorithm, is an algorithm for finding the greatest common divisor of two numbers a and b.

Source: http://mathworld.wolfram.com/EuclideanAlgorithm.html

• Listed under: Arithmetic, Abstract Algebra

• 10:27pm 7/22/2015

User: Loretta

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• 11:22pm 7/21/2015

User: JosephMcDonald

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What Euclid called "regular measure" is termed these days a typical component or a typical divisor. Euclid VII.2 then offers a calculation for discovering the best regular divisor (gcd) of two numbers. Of course, the calculation bears Euclid's name. The calculation is taking into account the accompanying two perceptions: On the off chance that b|a then gcd(a, b) = b. This is to be sure so in light of the fact that no number (b, specifically) may have a divisor more prominent than the number itself (I am talking here of non-negative whole numbers.) On the off chance that a = bt r, for whole numbers t and r, then gcd(a, b) = gcd(b, r). To be sure, every regular divisor of an and b likewise partitions r. Along these lines gcd(a, b) partitions r. Be that as it may, obviously, gcd(a, b)|b. In this way, gcd(a, b) is a typical divisor of b and r and henceforth gcd(a, b) ≤ gcd(b, r). The opposite is additionally genuine in light of the fact that each divisor of b and r likewise isolates.Students have many doubts for clear the doubt with the expert help click on custom thesis writing service.

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