GCD of 387, 396, 992 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 387, 396, 992 i.e. 1 largest integer that divides all the numbers equally.

GCD of 387, 396, 992 is 1

GCD(387, 396, 992) = 1

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

GCD of

GCD of numbers 387, 396, 992 is 1

GCD(387, 396, 992) = 1

GCD of 387,396,992 Calculator

GCDof 387,396,992 is 1

Given Input numbers are 387, 396, 992

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 387, 396, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 396, 992 is 1.

Therefore, GCD of numbers 387, 396, 992 is 1

Finding GCD of 387, 396, 992 using Prime Factorization

Given Input Data is 387, 396, 992

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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

Finding GCD of 387, 396, 992 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(387, 396) = 17028

GCD(387, 396) = ( 387 x 396 ) / 17028

GCD(387, 396) = 153252 / 17028

GCD(387, 396) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 992

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

LCM(9, 992) = 8928

GCD(9, 992) = ( 9 x 992 ) / 8928

GCD(9, 992) = 8928 / 8928

GCD(9, 992) = 1

GCD of 387, 396, 992 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 387, 396, 992

1. What is the GCD of 387, 396, 992?

GCD of 387, 396, 992 is 1


2. Where do I get the detailed procedure to find GCD of 387, 396, 992?

You can find a detailed procedure to find GCD of 387, 396, 992 on our page.


3. How to find GCD of 387, 396, 992 on a calculator?

You can find the GCD of 387, 396, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.