GCD of 82, 57, 31 Calculator

Given Input numbers are 82, 57, 31

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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 82, 57, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 57, 31 is 1.

Therefore, GCD of numbers 82, 57, 31 is 1

Given Input Data is 82, 57, 31

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 57 is 3 x 19

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(82, 57) = 4674

GCD(82, 57) = ( 82 x 57 ) / 4674

GCD(82, 57) = 4674 / 4674

GCD(82, 57) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 82, 57, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 69, 88
• GCD of 22, 27, 87
• GCD of 53, 49, 94
• GCD of 51, 79, 83
• GCD of 54, 69, 66

1. What is the GCD of 82, 57, 31?

GCD of 82, 57, 31 is 1

2. Where do I get the detailed procedure to find GCD of 82, 57, 31?

You can find a detailed procedure to find GCD of 82, 57, 31 on our page.

3. How to find GCD of 82, 57, 31 on a calculator?

You can find the GCD of 82, 57, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.