GCD of 585, 369, 998 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 585, 369, 998 i.e. 1 largest integer that divides all the numbers equally.

GCD of 585, 369, 998 is 1

GCD(585, 369, 998) = 1

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

GCD of

GCD of numbers 585, 369, 998 is 1

GCD(585, 369, 998) = 1

GCD of 585,369,998 Calculator

GCDof 585,369,998 is 1

Given Input numbers are 585, 369, 998

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

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 585, 369, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 369, 998 is 1.

Therefore, GCD of numbers 585, 369, 998 is 1

Finding GCD of 585, 369, 998 using Prime Factorization

Given Input Data is 585, 369, 998

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 998 is 2 x 499

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

Finding GCD of 585, 369, 998 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(585, 369) = 23985

GCD(585, 369) = ( 585 x 369 ) / 23985

GCD(585, 369) = 215865 / 23985

GCD(585, 369) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 998

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

LCM(9, 998) = 8982

GCD(9, 998) = ( 9 x 998 ) / 8982

GCD(9, 998) = 8982 / 8982

GCD(9, 998) = 1

GCD of 585, 369, 998 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 585, 369, 998

1. What is the GCD of 585, 369, 998?

GCD of 585, 369, 998 is 1

2. Where do I get the detailed procedure to find GCD of 585, 369, 998?

You can find a detailed procedure to find GCD of 585, 369, 998 on our page.

3. How to find GCD of 585, 369, 998 on a calculator?

You can find the GCD of 585, 369, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.