GCD of 972, 124, 84, 631 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 972, 124, 84, 631 i.e. 1 largest integer that divides all the numbers equally.

GCD of 972, 124, 84, 631 is 1

GCD(972, 124, 84, 631) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 972, 124, 84, 631 is 1

GCD(972, 124, 84, 631) = 1

GCD of 972,124,84,631 Calculator

GCDof 972,124,84,631 is 1

Given Input numbers are 972, 124, 84, 631

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 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Greatest Common Divisior

We found the divisors of 972, 124, 84, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 124, 84, 631 is 1.

Therefore, GCD of numbers 972, 124, 84, 631 is 1

Finding GCD of 972, 124, 84, 631 using Prime Factorization

Given Input Data is 972, 124, 84, 631

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 124 is 2 x 2 x 31

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 631 is 631

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

Finding GCD of 972, 124, 84, 631 using LCM Formula

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, 124) = 30132

GCD(972, 124) = ( 972 x 124 ) / 30132

GCD(972, 124) = 120528 / 30132

GCD(972, 124) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 84

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

LCM(4, 84) = 84

GCD(4, 84) = ( 4 x 84 ) / 84

GCD(4, 84) = 336 / 84

GCD(4, 84) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 631

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

LCM(4, 631) = 2524

GCD(4, 631) = ( 4 x 631 ) / 2524

GCD(4, 631) = 2524 / 2524

GCD(4, 631) = 1

GCD of 972, 124, 84, 631 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 972, 124, 84, 631

1. What is the GCD of 972, 124, 84, 631?

GCD of 972, 124, 84, 631 is 1


2. Where do I get the detailed procedure to find GCD of 972, 124, 84, 631?

You can find a detailed procedure to find GCD of 972, 124, 84, 631 on our page.


3. How to find GCD of 972, 124, 84, 631 on a calculator?

You can find the GCD of 972, 124, 84, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.