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 numbers 204, 323, 226 is 1
GCD(204, 323, 226) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.