GCD of 438, 926, 961, 228 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 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

GCD of numbers 438, 926, 961, 228 is 1

GCD(438, 926, 961, 228) = 1

GCD of 438,926,961,228 Calculator

GCDof 438,926,961,228 is 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

Finding GCD of 438, 926, 961, 228 using Prime Factorization

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

Finding GCD of 438, 926, 961, 228 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(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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 438, 926, 961, 228

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.