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What us difference between Euclid's algorithm and Euclid's lemma

Posted by Chaman Mishra 5 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 5 months ago

Lemma is a proven statement used for proving another statement while algorithm is a series of well defined steps which gives a procedure for solving a type of a problem.

Euclid's division lemma: For given any positive integers a and b there exist unique integers q and r satisfying a = bq + r, 0 ≤ r < b.

Euclid's division algorithm is used for finding the Highest Common Factor of two numbers where in we apply the statement of Euclid's division lemma.

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