GCD of 131, 228, 13 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 131, 228, 13 i.e. 1 largest integer that divides all the numbers equally.

GCD of 131, 228, 13 is 1

GCD(131, 228, 13) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 131, 228, 13 is 1

GCD(131, 228, 13) = 1

GCD of 131,228,13 Calculator

GCDof 131,228,13 is 1

Given Input numbers are 131, 228, 13

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Greatest Common Divisior

We found the divisors of 131, 228, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 228, 13 is 1.

Therefore, GCD of numbers 131, 228, 13 is 1

Finding GCD of 131, 228, 13 using Prime Factorization

Given Input Data is 131, 228, 13

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 131 is 131

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 13 is 13

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 131, 228, 13 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(131, 228) = 29868

GCD(131, 228) = ( 131 x 228 ) / 29868

GCD(131, 228) = 29868 / 29868

GCD(131, 228) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

GCD of 131, 228, 13 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 131, 228, 13

1. What is the GCD of 131, 228, 13?

GCD of 131, 228, 13 is 1

2. Where do I get the detailed procedure to find GCD of 131, 228, 13?

You can find a detailed procedure to find GCD of 131, 228, 13 on our page.

3. How to find GCD of 131, 228, 13 on a calculator?

You can find the GCD of 131, 228, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.