GCD of 996, 664, 331 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 996, 664, 331 i.e. 1 largest integer that divides all the numbers equally.

GCD of 996, 664, 331 is 1

GCD(996, 664, 331) = 1

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

GCD of

GCD of numbers 996, 664, 331 is 1

GCD(996, 664, 331) = 1

GCD of 996,664,331 Calculator

GCDof 996,664,331 is 1

Given Input numbers are 996, 664, 331

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 996, 664, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 664, 331 is 1.

Therefore, GCD of numbers 996, 664, 331 is 1

Finding GCD of 996, 664, 331 using Prime Factorization

Given Input Data is 996, 664, 331

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 331 is 331

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

Finding GCD of 996, 664, 331 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(996, 664) = 1992

GCD(996, 664) = ( 996 x 664 ) / 1992

GCD(996, 664) = 661344 / 1992

GCD(996, 664) = 332


Step2:

Here we consider the GCD from the above i.e. 332 as first number and the next as 331

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

LCM(332, 331) = 109892

GCD(332, 331) = ( 332 x 331 ) / 109892

GCD(332, 331) = 109892 / 109892

GCD(332, 331) = 1

GCD of 996, 664, 331 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 996, 664, 331

1. What is the GCD of 996, 664, 331?

GCD of 996, 664, 331 is 1


2. Where do I get the detailed procedure to find GCD of 996, 664, 331?

You can find a detailed procedure to find GCD of 996, 664, 331 on our page.


3. How to find GCD of 996, 664, 331 on a calculator?

You can find the GCD of 996, 664, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.