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 124, 484, 31, 430 i.e. 1 largest integer that divides all the numbers equally.
GCD of 124, 484, 31, 430 is 1
GCD(124, 484, 31, 430) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 124, 484, 31, 430 is 1
GCD(124, 484, 31, 430) = 1
Given Input numbers are 124, 484, 31, 430
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Greatest Common Divisior
We found the divisors of 124, 484, 31, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 484, 31, 430 is 1.
Therefore, GCD of numbers 124, 484, 31, 430 is 1
Given Input Data is 124, 484, 31, 430
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 31 is 31
Prime Factorization of 430 is 2 x 5 x 43
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(124, 484) = 15004
GCD(124, 484) = ( 124 x 484 ) / 15004
GCD(124, 484) = 60016 / 15004
GCD(124, 484) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 31) = 124
GCD(4, 31) = ( 4 x 31 ) / 124
GCD(4, 31) = 124 / 124
GCD(4, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 430) = 430
GCD(1, 430) = ( 1 x 430 ) / 430
GCD(1, 430) = 430 / 430
GCD(1, 430) = 1
GCD of 124, 484, 31, 430 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 124, 484, 31, 430?
GCD of 124, 484, 31, 430 is 1
2. Where do I get the detailed procedure to find GCD of 124, 484, 31, 430?
You can find a detailed procedure to find GCD of 124, 484, 31, 430 on our page.
3. How to find GCD of 124, 484, 31, 430 on a calculator?
You can find the GCD of 124, 484, 31, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.