GCD of 204, 323, 226 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, 323, 226 i.e. 1 largest integer that divides all the numbers equally.

GCD of 204, 323, 226 is 1

GCD(204, 323, 226) = 1

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

GCD of

GCD of numbers 204, 323, 226 is 1

GCD(204, 323, 226) = 1

GCD of 204,323,226 Calculator

GCDof 204,323,226 is 1

Given Input numbers are 204, 323, 226

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 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 204, 323, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 323, 226 is 1.

Therefore, GCD of numbers 204, 323, 226 is 1

Finding GCD of 204, 323, 226 using Prime Factorization

Given Input Data is 204, 323, 226

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 323 is 17 x 19

Prime Factorization of 226 is 2 x 113

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

Finding GCD of 204, 323, 226 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, 323) = 3876

GCD(204, 323) = ( 204 x 323 ) / 3876

GCD(204, 323) = 65892 / 3876

GCD(204, 323) = 17


Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 226

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

LCM(17, 226) = 3842

GCD(17, 226) = ( 17 x 226 ) / 3842

GCD(17, 226) = 3842 / 3842

GCD(17, 226) = 1

GCD of 204, 323, 226 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 204, 323, 226

1. What is the GCD of 204, 323, 226?

GCD of 204, 323, 226 is 1


2. Where do I get the detailed procedure to find GCD of 204, 323, 226?

You can find a detailed procedure to find GCD of 204, 323, 226 on our page.


3. How to find GCD of 204, 323, 226 on a calculator?

You can find the GCD of 204, 323, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.