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 391, 974, 30, 122 i.e. 1 largest integer that divides all the numbers equally.
GCD of 391, 974, 30, 122 is 1
GCD(391, 974, 30, 122) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 391, 974, 30, 122 is 1
GCD(391, 974, 30, 122) = 1
Given Input numbers are 391, 974, 30, 122
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Greatest Common Divisior
We found the divisors of 391, 974, 30, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 974, 30, 122 is 1.
Therefore, GCD of numbers 391, 974, 30, 122 is 1
Given Input Data is 391, 974, 30, 122
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 391 is 17 x 23
Prime Factorization of 974 is 2 x 487
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 122 is 2 x 61
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(391, 974) = 380834
GCD(391, 974) = ( 391 x 974 ) / 380834
GCD(391, 974) = 380834 / 380834
GCD(391, 974) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
GCD(1, 122) = 122 / 122
GCD(1, 122) = 1
GCD of 391, 974, 30, 122 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 391, 974, 30, 122?
GCD of 391, 974, 30, 122 is 1
2. Where do I get the detailed procedure to find GCD of 391, 974, 30, 122?
You can find a detailed procedure to find GCD of 391, 974, 30, 122 on our page.
3. How to find GCD of 391, 974, 30, 122 on a calculator?
You can find the GCD of 391, 974, 30, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.