This calculator will find Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of two or more numbers. Stepbystep explanation is provided.

GCD stands for Greatest Common Divisor. GCD is largest number that divides the given numbers.
Find the GCD of 45 and 54.
Step 1: Find the divisiors of given numbers:
The divisiors of 45 are : 1, 3, 5, 9, 15, 45
The divisiors of 54 are : 1, 2, 3, 6, 9, 18, 27, 54
Step 2: Find the greatest number that these two lists share in common. In this example the GCD is 9.
LCM stands for Lowest Common Multiple. LCM is the smallest number that is a multiple of both a and b.
Find the LCM of 6 and 8.
The multiples of 6 are : 6, 12, 18, 24, 30, . . .
The multiples of 8 are : 8, 16, 24, 32, 40, . . .
So, the Lowest Common Multiple is 24.
Also, we can calculate the LCM using the following formula:
Now we can find the LCM of 6 and 8 as:
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