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 56, 422, 129, 520 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 422, 129, 520 is 1
GCD(56, 422, 129, 520) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 422, 129, 520 is 1
GCD(56, 422, 129, 520) = 1
Given Input numbers are 56, 422, 129, 520
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Greatest Common Divisior
We found the divisors of 56, 422, 129, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 422, 129, 520 is 1.
Therefore, GCD of numbers 56, 422, 129, 520 is 1
Given Input Data is 56, 422, 129, 520
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 422 is 2 x 211
Prime Factorization of 129 is 3 x 43
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
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(56, 422) = 11816
GCD(56, 422) = ( 56 x 422 ) / 11816
GCD(56, 422) = 23632 / 11816
GCD(56, 422) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 129
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 129) = 258
GCD(2, 129) = ( 2 x 129 ) / 258
GCD(2, 129) = 258 / 258
GCD(2, 129) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
GCD of 56, 422, 129, 520 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 422, 129, 520?
GCD of 56, 422, 129, 520 is 1
2. Where do I get the detailed procedure to find GCD of 56, 422, 129, 520?
You can find a detailed procedure to find GCD of 56, 422, 129, 520 on our page.
3. How to find GCD of 56, 422, 129, 520 on a calculator?
You can find the GCD of 56, 422, 129, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.