GCD of 924, 951, 36, 396 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, 951, 36, 396 i.e. 3 largest integer that divides all the numbers equally.

GCD of 924, 951, 36, 396 is 3

GCD(924, 951, 36, 396) = 3

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

GCD of

GCD of numbers 924, 951, 36, 396 is 3

GCD(924, 951, 36, 396) = 3

GCD of 924,951,36,396 Calculator

GCDof 924,951,36,396 is 3

Given Input numbers are 924, 951, 36, 396

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 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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

Greatest Common Divisior

We found the divisors of 924, 951, 36, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 951, 36, 396 is 3.

Therefore, GCD of numbers 924, 951, 36, 396 is 3

Finding GCD of 924, 951, 36, 396 using Prime Factorization

Given Input Data is 924, 951, 36, 396

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 951 is 3 x 317

Prime Factorization of 36 is 2 x 2 x 3 x 3

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

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 924, 951, 36, 396 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, 951) = 292908

GCD(924, 951) = ( 924 x 951 ) / 292908

GCD(924, 951) = 878724 / 292908

GCD(924, 951) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 396

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

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

GCD(3, 396) = 1188 / 396

GCD(3, 396) = 3

GCD of 924, 951, 36, 396 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 924, 951, 36, 396

1. What is the GCD of 924, 951, 36, 396?

GCD of 924, 951, 36, 396 is 3


2. Where do I get the detailed procedure to find GCD of 924, 951, 36, 396?

You can find a detailed procedure to find GCD of 924, 951, 36, 396 on our page.


3. How to find GCD of 924, 951, 36, 396 on a calculator?

You can find the GCD of 924, 951, 36, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.