2. For each of the following pairs of natural numbers a and b, use the Euclidean Algorithm to find gcd(a, b) and to find integers m and n such that gcd(a, b) = am + bm. (a) a = 901, b = 952 (b) a = 4199, 6 = 1748 (c) = 377,6 = 233

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 16E
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Part a) I already have done.

2. For each of the following pairs of natural numbers a and b, use the Euclidean Algorithm to find gcd(a, b)
and to find integers m and n such that gcd(a, b)
= am + bm.
(a) a = 901, b = 952
(b) a =
4199, 6 = 1748
(c)
= 377,6 = 233
Transcribed Image Text:2. For each of the following pairs of natural numbers a and b, use the Euclidean Algorithm to find gcd(a, b) and to find integers m and n such that gcd(a, b) = am + bm. (a) a = 901, b = 952 (b) a = 4199, 6 = 1748 (c) = 377,6 = 233
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