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 numbers 990, 835, 22, 585 is 1
GCD(990, 835, 22, 585) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.