GCD of 999, 663, 852, 532 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, 663, 852, 532 i.e. 1 largest integer that divides all the numbers equally.

GCD of 999, 663, 852, 532 is 1

GCD(999, 663, 852, 532) = 1

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

GCD of

GCD of numbers 999, 663, 852, 532 is 1

GCD(999, 663, 852, 532) = 1

GCD of 999,663,852,532 Calculator

GCDof 999,663,852,532 is 1

Given Input numbers are 999, 663, 852, 532

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 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 999, 663, 852, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 663, 852, 532 is 1.

Therefore, GCD of numbers 999, 663, 852, 532 is 1

Finding GCD of 999, 663, 852, 532 using Prime Factorization

Given Input Data is 999, 663, 852, 532

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 663 is 3 x 13 x 17

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 532 is 2 x 2 x 7 x 19

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

Finding GCD of 999, 663, 852, 532 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, 663) = 220779

GCD(999, 663) = ( 999 x 663 ) / 220779

GCD(999, 663) = 662337 / 220779

GCD(999, 663) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 852

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

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

GCD(3, 852) = 2556 / 852

GCD(3, 852) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 532

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

LCM(3, 532) = 1596

GCD(3, 532) = ( 3 x 532 ) / 1596

GCD(3, 532) = 1596 / 1596

GCD(3, 532) = 1

GCD of 999, 663, 852, 532 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 999, 663, 852, 532

1. What is the GCD of 999, 663, 852, 532?

GCD of 999, 663, 852, 532 is 1


2. Where do I get the detailed procedure to find GCD of 999, 663, 852, 532?

You can find a detailed procedure to find GCD of 999, 663, 852, 532 on our page.


3. How to find GCD of 999, 663, 852, 532 on a calculator?

You can find the GCD of 999, 663, 852, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.