GCD of 924, 963, 12 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 924, 963, 12 i.e. 3 largest integer that divides all the numbers equally.

GCD of 924, 963, 12 is 3

GCD(924, 963, 12) = 3

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

GCD of

GCD of numbers 924, 963, 12 is 3

GCD(924, 963, 12) = 3

GCD of 924,963,12 Calculator

GCDof 924,963,12 is 3

Given Input numbers are 924, 963, 12

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Greatest Common Divisior

We found the divisors of 924, 963, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 963, 12 is 3.

Therefore, GCD of numbers 924, 963, 12 is 3

Finding GCD of 924, 963, 12 using Prime Factorization

Given Input Data is 924, 963, 12

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 12 is 2 x 2 x 3

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 924, 963, 12 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(924, 963) = 296604

GCD(924, 963) = ( 924 x 963 ) / 296604

GCD(924, 963) = 889812 / 296604

GCD(924, 963) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 12

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

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

GCD(3, 12) = 36 / 12

GCD(3, 12) = 3

GCD of 924, 963, 12 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 924, 963, 12

1. What is the GCD of 924, 963, 12?

GCD of 924, 963, 12 is 3


2. Where do I get the detailed procedure to find GCD of 924, 963, 12?

You can find a detailed procedure to find GCD of 924, 963, 12 on our page.


3. How to find GCD of 924, 963, 12 on a calculator?

You can find the GCD of 924, 963, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.