GCD of 792, 138, 404 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, 138, 404 i.e. 2 largest integer that divides all the numbers equally.

GCD of 792, 138, 404 is 2

GCD(792, 138, 404) = 2

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

GCD of

GCD of numbers 792, 138, 404 is 2

GCD(792, 138, 404) = 2

GCD of 792,138,404 Calculator

GCDof 792,138,404 is 2

Given Input numbers are 792, 138, 404

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 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 404

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

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 792, 138, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 138, 404 is 2.

Therefore, GCD of numbers 792, 138, 404 is 2

Finding GCD of 792, 138, 404 using Prime Factorization

Given Input Data is 792, 138, 404

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 138 is 2 x 3 x 23

Prime Factorization of 404 is 2 x 2 x 101

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 792, 138, 404 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, 138) = 18216

GCD(792, 138) = ( 792 x 138 ) / 18216

GCD(792, 138) = 109296 / 18216

GCD(792, 138) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 404

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

LCM(6, 404) = 1212

GCD(6, 404) = ( 6 x 404 ) / 1212

GCD(6, 404) = 2424 / 1212

GCD(6, 404) = 2

GCD of 792, 138, 404 is 2

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FAQs on GCD of numbers 792, 138, 404

1. What is the GCD of 792, 138, 404?

GCD of 792, 138, 404 is 2

2. Where do I get the detailed procedure to find GCD of 792, 138, 404?

You can find a detailed procedure to find GCD of 792, 138, 404 on our page.

3. How to find GCD of 792, 138, 404 on a calculator?

You can find the GCD of 792, 138, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.