GCD of 54 and 81
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Greatest Common Divisor explained here
You have reached us maybe looking for answers to the questions like: GCD of 54 and 81 or what is the highest common factor (HCF) of 54 and 81?
What is the GCF of 54 and 81?
The first step to find the gcf of 54 and 81 is to list the factors of each number. The factors of 54 are 1, 2, 3, 6, 9, 18, 27 and 54. The factors of 81 are 1, 3, 9, 27 and 81. So, the Greatest Common Factor for these numbers is 27 because it divides all them without a remainder. Read more about Common Factors below.
How to find the Greatest Common Factor
The first step is to find all divisors of each number. For instance, let us find the gcf(54,81).
In this case we have:
- The factors of 54 (all the whole numbers that can divide the number without a remainder) are 1, 2, 3, 6, 9, 18, 27 and 54;
- The factors of 81 are 1, 3, 9, 27 and 81.
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 54 and 81 is 27. The GCF is the largest common positive integer that divides all the numbers (54,81) 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