1. (10 points) The Euclidean algorithm is based on the following assertion. Given two integers a, b, (a > b), gcd(a,b) =
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1. (10 points) The Euclidean algorithm is based on the following assertion. Given two integers a, b, (a > b), gcd(a,b) =
1. (10 points) The Euclidean algorithm is based on the following assertion. Given two integers a, b, (a > b), gcd(a,b) = ged(b, a mod b). (1) Prove the assertion (1) mathematically. (Note that proof by example is NOT appropriate here)
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