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 438, 431, 857, 129 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 431, 857, 129 is 1
GCD(438, 431, 857, 129) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 431, 857, 129 is 1
GCD(438, 431, 857, 129) = 1
Given Input numbers are 438, 431, 857, 129
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
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 438, 431, 857, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 431, 857, 129 is 1.
Therefore, GCD of numbers 438, 431, 857, 129 is 1
Given Input Data is 438, 431, 857, 129
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 431 is 431
Prime Factorization of 857 is 857
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(438, 431) = 188778
GCD(438, 431) = ( 438 x 431 ) / 188778
GCD(438, 431) = 188778 / 188778
GCD(438, 431) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 857
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 857) = 857
GCD(1, 857) = ( 1 x 857 ) / 857
GCD(1, 857) = 857 / 857
GCD(1, 857) = 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 438, 431, 857, 129 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 431, 857, 129?
GCD of 438, 431, 857, 129 is 1
2. Where do I get the detailed procedure to find GCD of 438, 431, 857, 129?
You can find a detailed procedure to find GCD of 438, 431, 857, 129 on our page.
3. How to find GCD of 438, 431, 857, 129 on a calculator?
You can find the GCD of 438, 431, 857, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.