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Writing a greatest common divisor as a linear combination

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Reference no: EM131572614

Question: Finish the proof of Theorem by proving that if a, b and c are as in the proof, then c | b.

Theorem: Writing a Greatest Common Divisor as a Linear Combination

For all integers a and b, not both zero, if d = gcd(a, b), then there exist integers s and t such that as + bt = d. In particular, if a and b are relatively prime, then there are integers s and t with as +bt = 1.

Reference no: EM131572614

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