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 226, 422, 179, 318 i.e. 1 largest integer that divides all the numbers equally.
GCD of 226, 422, 179, 318 is 1
GCD(226, 422, 179, 318) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 226, 422, 179, 318 is 1
GCD(226, 422, 179, 318) = 1
Given Input numbers are 226, 422, 179, 318
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Greatest Common Divisior
We found the divisors of 226, 422, 179, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 422, 179, 318 is 1.
Therefore, GCD of numbers 226, 422, 179, 318 is 1
Given Input Data is 226, 422, 179, 318
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 226 is 2 x 113
Prime Factorization of 422 is 2 x 211
Prime Factorization of 179 is 179
Prime Factorization of 318 is 2 x 3 x 53
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(226, 422) = 47686
GCD(226, 422) = ( 226 x 422 ) / 47686
GCD(226, 422) = 95372 / 47686
GCD(226, 422) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 179) = 358
GCD(2, 179) = ( 2 x 179 ) / 358
GCD(2, 179) = 358 / 358
GCD(2, 179) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
GCD of 226, 422, 179, 318 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 226, 422, 179, 318?
GCD of 226, 422, 179, 318 is 1
2. Where do I get the detailed procedure to find GCD of 226, 422, 179, 318?
You can find a detailed procedure to find GCD of 226, 422, 179, 318 on our page.
3. How to find GCD of 226, 422, 179, 318 on a calculator?
You can find the GCD of 226, 422, 179, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.