Greatest Common Factor Calculator
Use our Greatest Common Factor to find the GCF of any combination of numbers.
To use the GCD / GCF / HCF Calculator below just enter a set of numbers separated by commas (,).
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How to find the Greatest Common Factor
GCF example:
The first step is to find all divisors of each number. For instance, let us find the gcf(4,6,8).
In this case we have:
- The factors of 4 (all the whole numbers that can divide the number without a remainder) are 1, 2 and 4;
- The factors of 6 are 1, 2, 3 and 6;
- The factors of 8 are 1, 2, 4 and 8.
The second step is to analyze which are the common divisors. It is not difficult to see that the 'Greatest Common Factor' or 'Divisor' for 4, 6 and 8 is 1. The GCF is the largest common positive integer that divides all the numbers (4,6,8) without a remainder.
The GCF is also known as:
- Greatest common divisor (gcd);
- Highest common factor (hcf);
- Greatest common measure (gcm), or
- Highest common divisor
To learn more about GCF/GCD, watch this video from Khan Academy or/and read this arcticle.
Greatest Common Factor Calculator
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