Prove the equality gcd(m, n) = gcd(n, m mod n) for every pair of positiveintegers m and n
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Solution 1
Sure, here is the proof for the equality gcd(m, n) = gcd(n, m mod n) for every pair of positive integers m and n.
Step 1: Let's assume that d is a common divisor of m and n. This means that there exist integers q and r such that m = dq and n = dr.
Step 2: Now, let's consider the modulo operation m Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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