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 974, 121, 596 i.e. 1 largest integer that divides all the numbers equally.
GCD of 974, 121, 596 is 1
GCD(974, 121, 596) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 121, 596 is 1
GCD(974, 121, 596) = 1
Given Input numbers are 974, 121, 596
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Greatest Common Divisior
We found the divisors of 974, 121, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 121, 596 is 1.
Therefore, GCD of numbers 974, 121, 596 is 1
Given Input Data is 974, 121, 596
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 121 is 11 x 11
Prime Factorization of 596 is 2 x 2 x 149
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(974, 121) = 117854
GCD(974, 121) = ( 974 x 121 ) / 117854
GCD(974, 121) = 117854 / 117854
GCD(974, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 596
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 596) = 596
GCD(1, 596) = ( 1 x 596 ) / 596
GCD(1, 596) = 596 / 596
GCD(1, 596) = 1
GCD of 974, 121, 596 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 121, 596?
GCD of 974, 121, 596 is 1
2. Where do I get the detailed procedure to find GCD of 974, 121, 596?
You can find a detailed procedure to find GCD of 974, 121, 596 on our page.
3. How to find GCD of 974, 121, 596 on a calculator?
You can find the GCD of 974, 121, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.