What is the difference between Euclid Division Lemma and Euclid Division Algorithm? Explain it with example.

Asked by Anshul Kansal | 10th Aug, 2010, 12:00: AM

Expert Answer:

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.
 
 

Answered by  | 11th Aug, 2010, 02:50: PM

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