GCD of 102 and 84 - GCD / GCF Calculator

Find the Greatest Common Divisor for any set of integers (2, 3 or more whole mumbers). Here is the answer to the questions like: GCD of 102 and 84 or What is the highest common factor (hcf) of 102 and 84?

To use the GCD / GCF / HCF Calculator below just enter a set of numbers separated by commas (,).

GCD / GCF Calculator

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 Ex.: 2,4,8; 3,6 etc.

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How to find the Greatest Common Divisor

GCF example:

The first step is to find all divisors of each number. For instance, let us find the gcf(102, 84).

In this case we have:

  • The factors of 102 (all the whole numbers that can divide the number without a remainder) are 1, 2, 3, 6, 17, 34, 51 and 102;
  • The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

The second step is to analyse which are the common divisors. It is not difficult to see that the 'Greatest Common Factor' or 'Divisor' for 102 and 84 is 6. The GCF is the largest common positive integer that divides all the numbers (102, 84) 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.


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