GCD of 204, 423, 125, 131 Calculator

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

GCD of numbers 204, 423, 125, 131 is 1

GCD(204, 423, 125, 131) = 1

GCD of 204,423,125,131 Calculator

GCDof 204,423,125,131 is 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

Finding GCD of 204, 423, 125, 131 using Prime Factorization

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

Finding GCD of 204, 423, 125, 131 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 204, 423, 125, 131

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.