GCD of 132, 999, 10, 324 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 132, 999, 10, 324 i.e. 1 largest integer that divides all the numbers equally.

GCD of 132, 999, 10, 324 is 1

GCD(132, 999, 10, 324) = 1

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

GCD of

GCD of numbers 132, 999, 10, 324 is 1

GCD(132, 999, 10, 324) = 1

GCD of 132,999,10,324 Calculator

GCDof 132,999,10,324 is 1

Given Input numbers are 132, 999, 10, 324

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 132, 999, 10, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 999, 10, 324 is 1.

Therefore, GCD of numbers 132, 999, 10, 324 is 1

Finding GCD of 132, 999, 10, 324 using Prime Factorization

Given Input Data is 132, 999, 10, 324

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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

Finding GCD of 132, 999, 10, 324 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(132, 999) = 43956

GCD(132, 999) = ( 132 x 999 ) / 43956

GCD(132, 999) = 131868 / 43956

GCD(132, 999) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 10

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

LCM(3, 10) = 30

GCD(3, 10) = ( 3 x 10 ) / 30

GCD(3, 10) = 30 / 30

GCD(3, 10) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 132, 999, 10, 324 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 132, 999, 10, 324

1. What is the GCD of 132, 999, 10, 324?

GCD of 132, 999, 10, 324 is 1


2. Where do I get the detailed procedure to find GCD of 132, 999, 10, 324?

You can find a detailed procedure to find GCD of 132, 999, 10, 324 on our page.


3. How to find GCD of 132, 999, 10, 324 on a calculator?

You can find the GCD of 132, 999, 10, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.