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If a and b are integers, not both of which are zero, prove that gcd(2a - 3b, 4a -
Chapter 2, Problem 15(choose chapter or problem)
QUESTION:
If a and b are integers, not both of which are zero, prove that gcd(2a - 3b, 4a - 5b) divides b; hence, gcd(2a + 3, 4a + 5) = 1.
Questions & Answers
QUESTION:
If a and b are integers, not both of which are zero, prove that gcd(2a - 3b, 4a - 5b) divides b; hence, gcd(2a + 3, 4a + 5) = 1.
ANSWER:Step 1 of 3
Given,
divides any linear combination of and .