GCD of 999, 405, 90, 482 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, 405, 90, 482 i.e. 1 largest integer that divides all the numbers equally.

GCD of 999, 405, 90, 482 is 1

GCD(999, 405, 90, 482) = 1

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

GCD of

GCD of numbers 999, 405, 90, 482 is 1

GCD(999, 405, 90, 482) = 1

GCD of 999,405,90,482 Calculator

GCDof 999,405,90,482 is 1

Given Input numbers are 999, 405, 90, 482

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 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Greatest Common Divisior

We found the divisors of 999, 405, 90, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 405, 90, 482 is 1.

Therefore, GCD of numbers 999, 405, 90, 482 is 1

Finding GCD of 999, 405, 90, 482 using Prime Factorization

Given Input Data is 999, 405, 90, 482

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 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 482 is 2 x 241

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

Finding GCD of 999, 405, 90, 482 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, 405) = 14985

GCD(999, 405) = ( 999 x 405 ) / 14985

GCD(999, 405) = 404595 / 14985

GCD(999, 405) = 27


Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 90

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

LCM(27, 90) = 270

GCD(27, 90) = ( 27 x 90 ) / 270

GCD(27, 90) = 2430 / 270

GCD(27, 90) = 9


Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 482

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

LCM(9, 482) = 4338

GCD(9, 482) = ( 9 x 482 ) / 4338

GCD(9, 482) = 4338 / 4338

GCD(9, 482) = 1

GCD of 999, 405, 90, 482 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 999, 405, 90, 482

1. What is the GCD of 999, 405, 90, 482?

GCD of 999, 405, 90, 482 is 1


2. Where do I get the detailed procedure to find GCD of 999, 405, 90, 482?

You can find a detailed procedure to find GCD of 999, 405, 90, 482 on our page.


3. How to find GCD of 999, 405, 90, 482 on a calculator?

You can find the GCD of 999, 405, 90, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.