GCD of 999, 477, 604, 253 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, 477, 604, 253 i.e. 1 largest integer that divides all the numbers equally.

GCD of 999, 477, 604, 253 is 1

GCD(999, 477, 604, 253) = 1

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

GCD of

GCD of numbers 999, 477, 604, 253 is 1

GCD(999, 477, 604, 253) = 1

GCD of 999,477,604,253 Calculator

GCDof 999,477,604,253 is 1

Given Input numbers are 999, 477, 604, 253

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 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 999, 477, 604, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 477, 604, 253 is 1.

Therefore, GCD of numbers 999, 477, 604, 253 is 1

Finding GCD of 999, 477, 604, 253 using Prime Factorization

Given Input Data is 999, 477, 604, 253

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 477 is 3 x 3 x 53

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 253 is 11 x 23

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

Finding GCD of 999, 477, 604, 253 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, 477) = 52947

GCD(999, 477) = ( 999 x 477 ) / 52947

GCD(999, 477) = 476523 / 52947

GCD(999, 477) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 604

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

LCM(9, 604) = 5436

GCD(9, 604) = ( 9 x 604 ) / 5436

GCD(9, 604) = 5436 / 5436

GCD(9, 604) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 999, 477, 604, 253 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 999, 477, 604, 253

1. What is the GCD of 999, 477, 604, 253?

GCD of 999, 477, 604, 253 is 1


2. Where do I get the detailed procedure to find GCD of 999, 477, 604, 253?

You can find a detailed procedure to find GCD of 999, 477, 604, 253 on our page.


3. How to find GCD of 999, 477, 604, 253 on a calculator?

You can find the GCD of 999, 477, 604, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.