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 372, 236, 91, 974 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 236, 91, 974 is 1
GCD(372, 236, 91, 974) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 236, 91, 974 is 1
GCD(372, 236, 91, 974) = 1
Given Input numbers are 372, 236, 91, 974
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Greatest Common Divisior
We found the divisors of 372, 236, 91, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 236, 91, 974 is 1.
Therefore, GCD of numbers 372, 236, 91, 974 is 1
Given Input Data is 372, 236, 91, 974
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 91 is 7 x 13
Prime Factorization of 974 is 2 x 487
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(372, 236) = 21948
GCD(372, 236) = ( 372 x 236 ) / 21948
GCD(372, 236) = 87792 / 21948
GCD(372, 236) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 91) = 364
GCD(4, 91) = ( 4 x 91 ) / 364
GCD(4, 91) = 364 / 364
GCD(4, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 974) = 974
GCD(1, 974) = ( 1 x 974 ) / 974
GCD(1, 974) = 974 / 974
GCD(1, 974) = 1
GCD of 372, 236, 91, 974 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 236, 91, 974?
GCD of 372, 236, 91, 974 is 1
2. Where do I get the detailed procedure to find GCD of 372, 236, 91, 974?
You can find a detailed procedure to find GCD of 372, 236, 91, 974 on our page.
3. How to find GCD of 372, 236, 91, 974 on a calculator?
You can find the GCD of 372, 236, 91, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.