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 numbers 972, 124, 84, 631 is 1
GCD(972, 124, 84, 631) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.