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, 425, 268, 156 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 425, 268, 156 is 1
GCD(972, 425, 268, 156) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 425, 268, 156 is 1
GCD(972, 425, 268, 156) = 1
Given Input numbers are 972, 425, 268, 156
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 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Greatest Common Divisior
We found the divisors of 972, 425, 268, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 425, 268, 156 is 1.
Therefore, GCD of numbers 972, 425, 268, 156 is 1
Given Input Data is 972, 425, 268, 156
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 425 is 5 x 5 x 17
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 156 is 2 x 2 x 3 x 13
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, 425) = 413100
GCD(972, 425) = ( 972 x 425 ) / 413100
GCD(972, 425) = 413100 / 413100
GCD(972, 425) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 268) = 268
GCD(1, 268) = ( 1 x 268 ) / 268
GCD(1, 268) = 268 / 268
GCD(1, 268) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
GCD(1, 156) = 156 / 156
GCD(1, 156) = 1
GCD of 972, 425, 268, 156 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 425, 268, 156?
GCD of 972, 425, 268, 156 is 1
2. Where do I get the detailed procedure to find GCD of 972, 425, 268, 156?
You can find a detailed procedure to find GCD of 972, 425, 268, 156 on our page.
3. How to find GCD of 972, 425, 268, 156 on a calculator?
You can find the GCD of 972, 425, 268, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.