Let a and b be integers with GCD(a, b) = d and let a = da', b = db'. Prove that GCD(a', b')=1
Let a and b be integers with GCD(a, b) = d and let a = da', b = db'. Prove that GCD(a', b')=1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Let a and b be integers with GCD(a, b) = d and let a = da', b = db'. Prove that GCD(a', b')=1
2. Let a, b, and n be integers such that GCD(a, n) = GCD(b, n) = 1. Prove that GCD(ab, n) = 1.
Please do not use use prime factorization
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