GCD of 438, 209, 272, 492 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, 209, 272, 492 i.e. 1 largest integer that divides all the numbers equally.

GCD of 438, 209, 272, 492 is 1

GCD(438, 209, 272, 492) = 1

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

GCD of

GCD of numbers 438, 209, 272, 492 is 1

GCD(438, 209, 272, 492) = 1

GCD of 438,209,272,492 Calculator

GCDof 438,209,272,492 is 1

Given Input numbers are 438, 209, 272, 492

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 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 438, 209, 272, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 209, 272, 492 is 1.

Therefore, GCD of numbers 438, 209, 272, 492 is 1

Finding GCD of 438, 209, 272, 492 using Prime Factorization

Given Input Data is 438, 209, 272, 492

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 209 is 11 x 19

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 492 is 2 x 2 x 3 x 41

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

Finding GCD of 438, 209, 272, 492 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, 209) = 91542

GCD(438, 209) = ( 438 x 209 ) / 91542

GCD(438, 209) = 91542 / 91542

GCD(438, 209) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 438, 209, 272, 492 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 438, 209, 272, 492

1. What is the GCD of 438, 209, 272, 492?

GCD of 438, 209, 272, 492 is 1


2. Where do I get the detailed procedure to find GCD of 438, 209, 272, 492?

You can find a detailed procedure to find GCD of 438, 209, 272, 492 on our page.


3. How to find GCD of 438, 209, 272, 492 on a calculator?

You can find the GCD of 438, 209, 272, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.