GCD of 13, 269, 249, 156 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 13, 269, 249, 156 i.e. 1 largest integer that divides all the numbers equally.

GCD of 13, 269, 249, 156 is 1

GCD(13, 269, 249, 156) = 1

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

GCD of

GCD of numbers 13, 269, 249, 156 is 1

GCD(13, 269, 249, 156) = 1

GCD of 13,269,249,156 Calculator

GCDof 13,269,249,156 is 1

Given Input numbers are 13, 269, 249, 156

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

Divisors of 13

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

1, 13

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 13, 269, 249, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 269, 249, 156 is 1.

Therefore, GCD of numbers 13, 269, 249, 156 is 1

Finding GCD of 13, 269, 249, 156 using Prime Factorization

Given Input Data is 13, 269, 249, 156

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

Prime Factorization of 13 is 13

Prime Factorization of 269 is 269

Prime Factorization of 249 is 3 x 83

Prime Factorization of 156 is 2 x 2 x 3 x 13

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

Finding GCD of 13, 269, 249, 156 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(13, 269) = 3497

GCD(13, 269) = ( 13 x 269 ) / 3497

GCD(13, 269) = 3497 / 3497

GCD(13, 269) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 1

GCD of 13, 269, 249, 156 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 13, 269, 249, 156

1. What is the GCD of 13, 269, 249, 156?

GCD of 13, 269, 249, 156 is 1


2. Where do I get the detailed procedure to find GCD of 13, 269, 249, 156?

You can find a detailed procedure to find GCD of 13, 269, 249, 156 on our page.


3. How to find GCD of 13, 269, 249, 156 on a calculator?

You can find the GCD of 13, 269, 249, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.