GCD of 999, 585, 266 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, 585, 266 i.e. 1 largest integer that divides all the numbers equally.

GCD of 999, 585, 266 is 1

GCD(999, 585, 266) = 1

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

GCD of

GCD of numbers 999, 585, 266 is 1

GCD(999, 585, 266) = 1

GCD of 999,585,266 Calculator

GCDof 999,585,266 is 1

Given Input numbers are 999, 585, 266

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 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 999, 585, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 585, 266 is 1.

Therefore, GCD of numbers 999, 585, 266 is 1

Finding GCD of 999, 585, 266 using Prime Factorization

Given Input Data is 999, 585, 266

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 585 is 3 x 3 x 5 x 13

Prime Factorization of 266 is 2 x 7 x 19

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

Finding GCD of 999, 585, 266 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, 585) = 64935

GCD(999, 585) = ( 999 x 585 ) / 64935

GCD(999, 585) = 584415 / 64935

GCD(999, 585) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 266

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

LCM(9, 266) = 2394

GCD(9, 266) = ( 9 x 266 ) / 2394

GCD(9, 266) = 2394 / 2394

GCD(9, 266) = 1

GCD of 999, 585, 266 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 999, 585, 266

1. What is the GCD of 999, 585, 266?

GCD of 999, 585, 266 is 1


2. Where do I get the detailed procedure to find GCD of 999, 585, 266?

You can find a detailed procedure to find GCD of 999, 585, 266 on our page.


3. How to find GCD of 999, 585, 266 on a calculator?

You can find the GCD of 999, 585, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.