GCD of 81, 54, 31 Calculator

Given Input numbers are 81, 54, 31

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 81, 54, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 54, 31 is 1.

Therefore, GCD of numbers 81, 54, 31 is 1

Given Input Data is 81, 54, 31

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 31 is 31

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(81, 54) = 162

GCD(81, 54) = ( 81 x 54 ) / 162

GCD(81, 54) = 4374 / 162

GCD(81, 54) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 31

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(27, 31) = 837

GCD(27, 31) = ( 27 x 31 ) / 837

GCD(27, 31) = 837 / 837

GCD(27, 31) = 1

GCD of 81, 54, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 96, 62
• GCD of 13, 25, 36
• GCD of 53, 64, 41
• GCD of 12, 53, 52
• GCD of 97, 30, 44

1. What is the GCD of 81, 54, 31?

GCD of 81, 54, 31 is 1

2. Where do I get the detailed procedure to find GCD of 81, 54, 31?

You can find a detailed procedure to find GCD of 81, 54, 31 on our page.

3. How to find GCD of 81, 54, 31 on a calculator?

You can find the GCD of 81, 54, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.