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 422, 121, 68, 791 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 121, 68, 791 is 1
GCD(422, 121, 68, 791) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 121, 68, 791 is 1
GCD(422, 121, 68, 791) = 1
Given Input numbers are 422, 121, 68, 791
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Greatest Common Divisior
We found the divisors of 422, 121, 68, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 121, 68, 791 is 1.
Therefore, GCD of numbers 422, 121, 68, 791 is 1
Given Input Data is 422, 121, 68, 791
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 121 is 11 x 11
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 791 is 7 x 113
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(422, 121) = 51062
GCD(422, 121) = ( 422 x 121 ) / 51062
GCD(422, 121) = 51062 / 51062
GCD(422, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 791) = 791
GCD(1, 791) = ( 1 x 791 ) / 791
GCD(1, 791) = 791 / 791
GCD(1, 791) = 1
GCD of 422, 121, 68, 791 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 121, 68, 791?
GCD of 422, 121, 68, 791 is 1
2. Where do I get the detailed procedure to find GCD of 422, 121, 68, 791?
You can find a detailed procedure to find GCD of 422, 121, 68, 791 on our page.
3. How to find GCD of 422, 121, 68, 791 on a calculator?
You can find the GCD of 422, 121, 68, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.