GCD of 996, 699, 931 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, 699, 931 i.e. 1 largest integer that divides all the numbers equally.

GCD of 996, 699, 931 is 1

GCD(996, 699, 931) = 1

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

GCD of

GCD of numbers 996, 699, 931 is 1

GCD(996, 699, 931) = 1

GCD of 996,699,931 Calculator

GCDof 996,699,931 is 1

Given Input numbers are 996, 699, 931

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 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 996, 699, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 699, 931 is 1.

Therefore, GCD of numbers 996, 699, 931 is 1

Finding GCD of 996, 699, 931 using Prime Factorization

Given Input Data is 996, 699, 931

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 699 is 3 x 233

Prime Factorization of 931 is 7 x 7 x 19

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

Finding GCD of 996, 699, 931 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, 699) = 232068

GCD(996, 699) = ( 996 x 699 ) / 232068

GCD(996, 699) = 696204 / 232068

GCD(996, 699) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 931

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

LCM(3, 931) = 2793

GCD(3, 931) = ( 3 x 931 ) / 2793

GCD(3, 931) = 2793 / 2793

GCD(3, 931) = 1

GCD of 996, 699, 931 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 996, 699, 931

1. What is the GCD of 996, 699, 931?

GCD of 996, 699, 931 is 1


2. Where do I get the detailed procedure to find GCD of 996, 699, 931?

You can find a detailed procedure to find GCD of 996, 699, 931 on our page.


3. How to find GCD of 996, 699, 931 on a calculator?

You can find the GCD of 996, 699, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.