Highest Common Factor

The Highest Common Factor (HCF) of a series of numbers is the highest number (greater than one) that is divisible by all the numbers, without a remainder.

For example, 6 is the greatest number that will divide into 12, 18 and 72 without a remainder. In other words, it is the factor that is contained in each number of a series. So the HCF is the multiple of all factors that 12, 18 and 72 share. This is how the HCF is derived:

common factor 12 18 72
2 6 9 36
3 2 3 12

Since there are no more common factors the result would be : 2x3=6. Now that you know the method here is the easy part.

Highest Common Factor
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