Exercise 5 - Prove the general formula ø(ged(a,b))o(ab) = gcd(a, b)o(a)o(b). Exercise 6 – Use the previous exercise to conclude that if o(ab) = 0(a)6(b), then gcd(a, b) = 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 62E
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Exercise 5 - Prove the general formula o(ged(a, b))o(ab) = gcd(a, b)o(a)o(b).
Exercise 6 - Use the previous exercise to conclude that if o(ab) = $(a)o(b), then gcd(a, b) = 1.
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Transcribed Image Text:Exercise 5 - Prove the general formula o(ged(a, b))o(ab) = gcd(a, b)o(a)o(b). Exercise 6 - Use the previous exercise to conclude that if o(ab) = $(a)o(b), then gcd(a, b) = 1. %3D
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