GCD of 792, 404, 272 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 792, 404, 272 i.e. 4 largest integer that divides all the numbers equally.

GCD of 792, 404, 272 is 4

GCD(792, 404, 272) = 4

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

GCD of

GCD of numbers 792, 404, 272 is 4

GCD(792, 404, 272) = 4

GCD of 792,404,272 Calculator

GCDof 792,404,272 is 4

Given Input numbers are 792, 404, 272

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

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

Greatest Common Divisior

We found the divisors of 792, 404, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 404, 272 is 4.

Therefore, GCD of numbers 792, 404, 272 is 4

Finding GCD of 792, 404, 272 using Prime Factorization

Given Input Data is 792, 404, 272

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 404 is 2 x 2 x 101

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

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 792, 404, 272 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(792, 404) = 79992

GCD(792, 404) = ( 792 x 404 ) / 79992

GCD(792, 404) = 319968 / 79992

GCD(792, 404) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 272

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

LCM(4, 272) = 272

GCD(4, 272) = ( 4 x 272 ) / 272

GCD(4, 272) = 1088 / 272

GCD(4, 272) = 4

GCD of 792, 404, 272 is 4

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FAQs on GCD of numbers 792, 404, 272

1. What is the GCD of 792, 404, 272?

GCD of 792, 404, 272 is 4

2. Where do I get the detailed procedure to find GCD of 792, 404, 272?

You can find a detailed procedure to find GCD of 792, 404, 272 on our page.

3. How to find GCD of 792, 404, 272 on a calculator?

You can find the GCD of 792, 404, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.