38+ Hcf By Euclid Division Lemma Gif. Understand euclid's division lemma and euclid's division algorithm. In number theory, euclid's lemma is a lemma that captures a fundamental property of prime numbers, namely:

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Consider two numbers 78 and 980 and we need to find the hcf of these numbers. Using euclid's division lemma,show that any positive odd integer is of the form 4q + 1 or 4q+ 3 where q is some integer? To understand this algorithm and why it.

So forfinding hcf of two numbers the following steps are followed.

For example x = 15, y = 6 and p = 5. Euclid's lemma states that if a prime p divides the product of two numbers (x*y), it must divide at least one of those numbers. To understand this algorithm and why it. I understood the division lemma, and also got the algorithm to work: