Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Let a, b e Z andn E Z*. Prove that if a = b(mod n), then gcd(a, n) = gcd(b, n). (Hint: use the fact that if an integer d divides two numbers, then d divides any integer combination of those two numbers.)
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Transcribed Image Text:Let a, b e Z andn E Z*. Prove that if a = b(mod n), then gcd(a, n) = gcd(b, n). (Hint: use the fact that if an integer d divides two numbers, then d divides any integer combination of those two numbers.)
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