GCD of 999, 774, 961 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 999, 774, 961 i.e. 1 largest integer that divides all the numbers equally.

GCD of 999, 774, 961 is 1

GCD(999, 774, 961) = 1

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

GCD of

GCD of numbers 999, 774, 961 is 1

GCD(999, 774, 961) = 1

GCD of 999,774,961 Calculator

GCDof 999,774,961 is 1

Given Input numbers are 999, 774, 961

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 999, 774, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 774, 961 is 1.

Therefore, GCD of numbers 999, 774, 961 is 1

Finding GCD of 999, 774, 961 using Prime Factorization

Given Input Data is 999, 774, 961

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 961 is 31 x 31

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

Finding GCD of 999, 774, 961 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(999, 774) = 85914

GCD(999, 774) = ( 999 x 774 ) / 85914

GCD(999, 774) = 773226 / 85914

GCD(999, 774) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 961

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

LCM(9, 961) = 8649

GCD(9, 961) = ( 9 x 961 ) / 8649

GCD(9, 961) = 8649 / 8649

GCD(9, 961) = 1

GCD of 999, 774, 961 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 999, 774, 961

1. What is the GCD of 999, 774, 961?

GCD of 999, 774, 961 is 1


2. Where do I get the detailed procedure to find GCD of 999, 774, 961?

You can find a detailed procedure to find GCD of 999, 774, 961 on our page.


3. How to find GCD of 999, 774, 961 on a calculator?

You can find the GCD of 999, 774, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.