a. Compute gcd(89, 55) and count the number of divisions required. b. Compute the upper

Chapter 3, Problem 40

(choose chapter or problem)

a. Compute gcd(89, 55) and count the number of divisions required. b. Compute the upper bound on the number of divisions required for gcd(89, 55) using Equation (1). c. Compute the upper bound on the number of divisions required for gcd(89, 55) using the result of Exercise 39. d. The eighteenth-century French mathematician Gabriel Lam proved that an upper bound on the number of division done by the Euclidean algorithm to find gcd(a, b) where a > b is 5 times the number of decimal digits in b. Compute the upper bound on the number of divisions required for gcd(89, 55) using Lams theorem

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