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 314, 131, 554, 129 i.e. 1 largest integer that divides all the numbers equally.
GCD of 314, 131, 554, 129 is 1
GCD(314, 131, 554, 129) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 314, 131, 554, 129 is 1
GCD(314, 131, 554, 129) = 1
Given Input numbers are 314, 131, 554, 129
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
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 314, 131, 554, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 131, 554, 129 is 1.
Therefore, GCD of numbers 314, 131, 554, 129 is 1
Given Input Data is 314, 131, 554, 129
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 314 is 2 x 157
Prime Factorization of 131 is 131
Prime Factorization of 554 is 2 x 277
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(314, 131) = 41134
GCD(314, 131) = ( 314 x 131 ) / 41134
GCD(314, 131) = 41134 / 41134
GCD(314, 131) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 554
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 554) = 554
GCD(1, 554) = ( 1 x 554 ) / 554
GCD(1, 554) = 554 / 554
GCD(1, 554) = 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 314, 131, 554, 129 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 314, 131, 554, 129?
GCD of 314, 131, 554, 129 is 1
2. Where do I get the detailed procedure to find GCD of 314, 131, 554, 129?
You can find a detailed procedure to find GCD of 314, 131, 554, 129 on our page.
3. How to find GCD of 314, 131, 554, 129 on a calculator?
You can find the GCD of 314, 131, 554, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.