For more than two values, GCDLCM starts with the first magnitude and combines the next value one at a time. GCD and LCM are associative for non-negative integers, so the final value is stable; preserving source order makes the evidence deterministic.

One row connects each new value

For 48, 180 and 300, the first row gives gcd 12 and lcm 720. Folding 300 into those accumulators keeps gcd 12 and changes lcm to 3,600.

Signs do not change divisibility magnitude

The calculator normalizes every input to its absolute magnitude for GCD and LCM, while preserving the normalized signed list for inspection. Every returned common divisor or multiple is non-negative.

Verify the arithmetic and its context

GCDLCM checks divisibility identities before returning a result, but an exact arithmetic answer does not prove that a real-world plan, interval, component, structure, dose, route, machine, or safety decision is suitable. Reproduce important results independently and apply only the rules of the neutral integer problem you actually intend to solve.