Where do I get the detailed procedure to find GCD of 269, 228, 13?

You can find a detailed procedure to find GCD of 269, 228, 13 on our page.

How to find GCD of 269, 228, 13 on a calculator?

You can find the GCD of 269, 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.

GCD of 269, 228, 13 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 269, 228, 13 quickly. Get the easiest ways to solve the greatest common divisor of 269, 228, 13 i.e 1 in different methods as follows.

How to Find GCD of Numbers 269, 228, 13 with Factoring?

Given Input numbers are 269, 228, 13

In the factoring method, we have to find the divisors of all numbers

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

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

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

GCD of numbers is the greatest common divisor

So, the GCD (269, 228, 13) = 1.

Find GCD of 269, 228, 13 using Prime Factorization

Given numbers are 269, 228, 13

The list of prime factors of all numbers are

Prime factors of 269 are 269

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 13 are 13

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

Steps to Calculate GCD of 269, 228, 13 using LCM Formula

Given numbers are 269, 228, 13

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(269, 228) = 61332

GCD(269, 228) = ( 269 x 228 ) / 61332

= 269 / 228

= 269

Step2:

LCM(1, 13) = 13

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

= 1 / 13

= 1

So, Greatest Common Divisor of 269, 228, 13 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 269, 228, 13

Given numbers are 269, 228, 13
The greatest common divisor of numbers 269, 228, 13 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 228, 13 is 1.

FAQs on GCD of 269, 228, 13 Calculator

1. What is the GCD of 269, 228, 13?

GCD of given numbers 269, 228, 13 is 1

2. How to calculate the greatest common divisor of 269, 228, 13?

We can find the highest common divisor of 269, 228, 13 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 269, 228, 13 i.e 1.

3. How can I use the GCD of 269, 228, 13Calculator?

Out the numbers 269, 228, 13 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.