a. Prove that if a and b are integers, not both zero, and d = gcd(a, b), then a/d and

Chapter 4, Problem 20

(choose chapter or problem)

a. Prove that if a and b are integers, not both zero, and d = gcd(a, b), then a/d and b/d are integers with no common divisor that is greater than one. b. Write an algorithm that accepts the numerator and denominator of a fraction as input and produces as output the numerator and denominator of that fraction written in lowest terms. (The algorithm may call upon the Euclidean algorithm as needed.)

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