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, 979, 54, 368 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 979, 54, 368 is 1
GCD(422, 979, 54, 368) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 979, 54, 368 is 1
GCD(422, 979, 54, 368) = 1
Given Input numbers are 422, 979, 54, 368
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 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 422, 979, 54, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 979, 54, 368 is 1.
Therefore, GCD of numbers 422, 979, 54, 368 is 1
Given Input Data is 422, 979, 54, 368
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 979 is 11 x 89
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
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, 979) = 413138
GCD(422, 979) = ( 422 x 979 ) / 413138
GCD(422, 979) = 413138 / 413138
GCD(422, 979) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
GCD of 422, 979, 54, 368 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 979, 54, 368?
GCD of 422, 979, 54, 368 is 1
2. Where do I get the detailed procedure to find GCD of 422, 979, 54, 368?
You can find a detailed procedure to find GCD of 422, 979, 54, 368 on our page.
3. How to find GCD of 422, 979, 54, 368 on a calculator?
You can find the GCD of 422, 979, 54, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.