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, 923, 88, 372 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 923, 88, 372 is 1
GCD(972, 923, 88, 372) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 923, 88, 372 is 1
GCD(972, 923, 88, 372) = 1
Given Input numbers are 972, 923, 88, 372
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 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 972, 923, 88, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 923, 88, 372 is 1.
Therefore, GCD of numbers 972, 923, 88, 372 is 1
Given Input Data is 972, 923, 88, 372
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 923 is 13 x 71
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 372 is 2 x 2 x 3 x 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(972, 923) = 897156
GCD(972, 923) = ( 972 x 923 ) / 897156
GCD(972, 923) = 897156 / 897156
GCD(972, 923) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 88) = 88
GCD(1, 88) = ( 1 x 88 ) / 88
GCD(1, 88) = 88 / 88
GCD(1, 88) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
GCD of 972, 923, 88, 372 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 923, 88, 372?
GCD of 972, 923, 88, 372 is 1
2. Where do I get the detailed procedure to find GCD of 972, 923, 88, 372?
You can find a detailed procedure to find GCD of 972, 923, 88, 372 on our page.
3. How to find GCD of 972, 923, 88, 372 on a calculator?
You can find the GCD of 972, 923, 88, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.