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 204, 423, 125, 131 i.e. 1 largest integer that divides all the numbers equally.
GCD of 204, 423, 125, 131 is 1
GCD(204, 423, 125, 131) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 204, 423, 125, 131 is 1
GCD(204, 423, 125, 131) = 1
Given Input numbers are 204, 423, 125, 131
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Greatest Common Divisior
We found the divisors of 204, 423, 125, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 423, 125, 131 is 1.
Therefore, GCD of numbers 204, 423, 125, 131 is 1
Given Input Data is 204, 423, 125, 131
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 131 is 131
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(204, 423) = 28764
GCD(204, 423) = ( 204 x 423 ) / 28764
GCD(204, 423) = 86292 / 28764
GCD(204, 423) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 125) = 375
GCD(3, 125) = ( 3 x 125 ) / 375
GCD(3, 125) = 375 / 375
GCD(3, 125) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
GCD(1, 131) = 131 / 131
GCD(1, 131) = 1
GCD of 204, 423, 125, 131 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 204, 423, 125, 131?
GCD of 204, 423, 125, 131 is 1
2. Where do I get the detailed procedure to find GCD of 204, 423, 125, 131?
You can find a detailed procedure to find GCD of 204, 423, 125, 131 on our page.
3. How to find GCD of 204, 423, 125, 131 on a calculator?
You can find the GCD of 204, 423, 125, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.