Question 1

Is GCD the same as LCM?

Accepted Answer

No. GCD is the largest number dividing both inputs. LCM is the smallest positive number divisible by both inputs.

Question 2

Why is the Euclidean algorithm efficient?

Accepted Answer

Remainders quickly reduce the problem size. Each step reduces the magnitude involved, which makes it much faster than checking every divisor.

Question 3

How do negatives affect the result?

Accepted Answer

Typically, gcd is reported as a non-negative value. The algorithm effectively handles sign through remainders and absolute conventions.

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