GCD of 990, 835, 22, 585 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 990, 835, 22, 585 i.e. 1 largest integer that divides all the numbers equally.

GCD of 990, 835, 22, 585 is 1

GCD(990, 835, 22, 585) = 1

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

GCD of

GCD of numbers 990, 835, 22, 585 is 1

GCD(990, 835, 22, 585) = 1

GCD of 990,835,22,585 Calculator

GCDof 990,835,22,585 is 1

Given Input numbers are 990, 835, 22, 585

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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

Greatest Common Divisior

We found the divisors of 990, 835, 22, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 835, 22, 585 is 1.

Therefore, GCD of numbers 990, 835, 22, 585 is 1

Finding GCD of 990, 835, 22, 585 using Prime Factorization

Given Input Data is 990, 835, 22, 585

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 835 is 5 x 167

Prime Factorization of 22 is 2 x 11

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

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

Finding GCD of 990, 835, 22, 585 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(990, 835) = 165330

GCD(990, 835) = ( 990 x 835 ) / 165330

GCD(990, 835) = 826650 / 165330

GCD(990, 835) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 22

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

LCM(5, 22) = 110

GCD(5, 22) = ( 5 x 22 ) / 110

GCD(5, 22) = 110 / 110

GCD(5, 22) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 990, 835, 22, 585 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 990, 835, 22, 585

1. What is the GCD of 990, 835, 22, 585?

GCD of 990, 835, 22, 585 is 1


2. Where do I get the detailed procedure to find GCD of 990, 835, 22, 585?

You can find a detailed procedure to find GCD of 990, 835, 22, 585 on our page.


3. How to find GCD of 990, 835, 22, 585 on a calculator?

You can find the GCD of 990, 835, 22, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.