sors. (a) gcd(291, 252). (b) gcd(16261, 85652). (c) gcd(139024789, 93278890).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 31E
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1.9. Use the Euclidean algorithm to compute the following greatest common divi-
sors.
(a) gcd (291, 252).
(b) gcd(16261, 85652).
(c) gcd(139024789, 93278890).
(d) gcd(16534528044, 8332745927).
1.10. For each of the gcd(a, b) values in Exercise 1.9, use the extended Euclidean
algorithm (Theorem 1.11) to find integers u and v such that au + bv = gcd(a, b).
Transcribed Image Text:1.9. Use the Euclidean algorithm to compute the following greatest common divi- sors. (a) gcd (291, 252). (b) gcd(16261, 85652). (c) gcd(139024789, 93278890). (d) gcd(16534528044, 8332745927). 1.10. For each of the gcd(a, b) values in Exercise 1.9, use the extended Euclidean algorithm (Theorem 1.11) to find integers u and v such that au + bv = gcd(a, b).
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