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 558, 392, 31, 129 i.e. 1 largest integer that divides all the numbers equally.
GCD of 558, 392, 31, 129 is 1
GCD(558, 392, 31, 129) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 558, 392, 31, 129 is 1
GCD(558, 392, 31, 129) = 1
Given Input numbers are 558, 392, 31, 129
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Greatest Common Divisior
We found the divisors of 558, 392, 31, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 392, 31, 129 is 1.
Therefore, GCD of numbers 558, 392, 31, 129 is 1
Given Input Data is 558, 392, 31, 129
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 31 is 31
Prime Factorization of 129 is 3 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(558, 392) = 109368
GCD(558, 392) = ( 558 x 392 ) / 109368
GCD(558, 392) = 218736 / 109368
GCD(558, 392) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 31) = 62
GCD(2, 31) = ( 2 x 31 ) / 62
GCD(2, 31) = 62 / 62
GCD(2, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 129
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
GCD(1, 129) = 129 / 129
GCD(1, 129) = 1
GCD of 558, 392, 31, 129 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 558, 392, 31, 129?
GCD of 558, 392, 31, 129 is 1
2. Where do I get the detailed procedure to find GCD of 558, 392, 31, 129?
You can find a detailed procedure to find GCD of 558, 392, 31, 129 on our page.
3. How to find GCD of 558, 392, 31, 129 on a calculator?
You can find the GCD of 558, 392, 31, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.