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 815, 585, 159 i.e. 1 largest integer that divides all the numbers equally.
GCD of 815, 585, 159 is 1
GCD(815, 585, 159) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 815, 585, 159 is 1
GCD(815, 585, 159) = 1
Given Input numbers are 815, 585, 159
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
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 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Greatest Common Divisior
We found the divisors of 815, 585, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 585, 159 is 1.
Therefore, GCD of numbers 815, 585, 159 is 1
Given Input Data is 815, 585, 159
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 815 is 5 x 163
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 159 is 3 x 53
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(815, 585) = 95355
GCD(815, 585) = ( 815 x 585 ) / 95355
GCD(815, 585) = 476775 / 95355
GCD(815, 585) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 159) = 795
GCD(5, 159) = ( 5 x 159 ) / 795
GCD(5, 159) = 795 / 795
GCD(5, 159) = 1
GCD of 815, 585, 159 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 815, 585, 159?
GCD of 815, 585, 159 is 1
2. Where do I get the detailed procedure to find GCD of 815, 585, 159?
You can find a detailed procedure to find GCD of 815, 585, 159 on our page.
3. How to find GCD of 815, 585, 159 on a calculator?
You can find the GCD of 815, 585, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.