Prove that gcd(a, b) = gcd(a, b − a)
What is the best way to prove this? using induction? or does there exist a more efficient method?
2026-05-15 10:21:29.1778840489
which is the best proof to use for gcd(a, b) = gcd(a, b − a)
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The shortest method consists in proving a more general fact: $$\{\text{divisors of }a \text{ and }b\}=\{\text{divisors of }a \text{ and }b-a\}$$