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 438, 926, 961, 228 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 926, 961, 228 is 1
GCD(438, 926, 961, 228) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 926, 961, 228 is 1
GCD(438, 926, 961, 228) = 1
Given Input numbers are 438, 926, 961, 228
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Greatest Common Divisior
We found the divisors of 438, 926, 961, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 926, 961, 228 is 1.
Therefore, GCD of numbers 438, 926, 961, 228 is 1
Given Input Data is 438, 926, 961, 228
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 926 is 2 x 463
Prime Factorization of 961 is 31 x 31
Prime Factorization of 228 is 2 x 2 x 3 x 19
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(438, 926) = 202794
GCD(438, 926) = ( 438 x 926 ) / 202794
GCD(438, 926) = 405588 / 202794
GCD(438, 926) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 961) = 1922
GCD(2, 961) = ( 2 x 961 ) / 1922
GCD(2, 961) = 1922 / 1922
GCD(2, 961) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 228
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 228) = 228
GCD(1, 228) = ( 1 x 228 ) / 228
GCD(1, 228) = 228 / 228
GCD(1, 228) = 1
GCD of 438, 926, 961, 228 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 926, 961, 228?
GCD of 438, 926, 961, 228 is 1
2. Where do I get the detailed procedure to find GCD of 438, 926, 961, 228?
You can find a detailed procedure to find GCD of 438, 926, 961, 228 on our page.
3. How to find GCD of 438, 926, 961, 228 on a calculator?
You can find the GCD of 438, 926, 961, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.