The Euclidean Algorithm for Calculating the Greatest Common Divisor (Gcd)

question 17

Essay

The Euclidean algorithm for calculating the greatest common divisor (gcd) of two integers a and b is: "If a is a nonnegative integer, b is a positive integer, and r = a mod b, then gcd(a,b) = gcd(b,r). Write a recursive method that uses the Euclidean algorithm to calculate the gcd.

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