View Euclid Division Lemma Class 10 Pictures. By dividing both the integers x and y the remainder is zero. For example, if p = 19, a = 133, b = 143.

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Euclid was the first greek mathematician who initiated a new way of thinking the study of geometry. It has gotten 7699 views and also has 4.8 rating. So, we find whole numbers, q and r such that c = dq + r, 0 ≤ r < d.

So, according to euclid's division lemma, if we have two positive integers a and b, then there would be whole numbers q and r that satisfy the equation:

Use euclid's division algorithm to find hcf. By dividing both the integers x and y the remainder is zero. In number theory, euclid's lemma is a lemma that captures a fundamental property of prime numbers, namely: Euclid's division algorithm is a technique to compute the highest common factor (hcf) of two given positive integers.