This algorithm works because \(HCF(c,\,d) = HCF(d,\,r)\) where the symbol \(HCF(c,\,d)\) denotes the \(HCF\) of \(c\) and \(d,\) etc.Įuclid’s division lemma and algorithm are thus closely interlinked that people often call the former the division algorithm as well. Learn the Concepts of Multiplication and Division ![]() Step \(3:\) To Proceed With the process till the remainder is zero. Step \(1:\) Apply Euclid’s division lemma to \(c\) and \(d.\) So, we find whole numbers, \(q\) and \(r\) such that \(c = dq r,\,0 \le r < d.\) ![]() ![]() The division algorithm is an algorithm in which two integers \(a\) and \(b\) are given and the algorithm computes the quotient \(q\) and remainder \(r,\) where \(0 \le r d,\) follow the steps below:
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