Using the Euclidean algorithm, find the greatest common divisor of a = 14 161 and b = 11 011, and express the greatest common divisor in the form ma + nb with m, n ∈ Z. You should show the steps in both parts of the Euclidean algorithm.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 56E
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Using the Euclidean algorithm, find the greatest common divisor of a = 14 161 and b = 11 011, and express the greatest common divisor in the form ma + nb with m, n ∈ Z. You should show the steps in both parts of the Euclidean algorithm.

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