GCD of 972, 625, 12, 113 Calculator

Given Input numbers are 972, 625, 12, 113

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 972, 625, 12, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 625, 12, 113 is 1.

Therefore, GCD of numbers 972, 625, 12, 113 is 1

Given Input Data is 972, 625, 12, 113

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 113 is 113

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(972, 625) = 607500

GCD(972, 625) = ( 972 x 625 ) / 607500

GCD(972, 625) = 607500 / 607500

GCD(972, 625) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 972, 625, 12, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 805, 34, 969
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• GCD of 659, 899, 48, 263
• GCD of 239, 317, 17, 816
• GCD of 463, 756, 80, 766

1. What is the GCD of 972, 625, 12, 113?

GCD of 972, 625, 12, 113 is 1

2. Where do I get the detailed procedure to find GCD of 972, 625, 12, 113?

You can find a detailed procedure to find GCD of 972, 625, 12, 113 on our page.

3. How to find GCD of 972, 625, 12, 113 on a calculator?

You can find the GCD of 972, 625, 12, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.