Enter 48, 180, 300 in combined mode. The first fold produces gcd(48,180)=12 and lcm(48,180)=720. The second uses gcd(12,300)=12 and lcm(720,300)=3,600.

Divisibility check

Each input is divisible by 12. The value 3,600 is divisible by 48, 180 and 300, so both final identities hold exactly.

Reproduce the complete fold

Enter the listed values in the same order. Read each pairwise row from left to right, then inspect the Euclidean equations until the remainder becomes zero. The final GCD must divide every input. If the list has no zero, the final LCM must be divisible by every input; if any input is zero, the released convention returns LCM zero.