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 558, 226, 585 i.e. 1 largest integer that divides all the numbers equally.
GCD of 558, 226, 585 is 1
GCD(558, 226, 585) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 558, 226, 585 is 1
GCD(558, 226, 585) = 1
Given Input numbers are 558, 226, 585
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
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 558, 226, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 226, 585 is 1.
Therefore, GCD of numbers 558, 226, 585 is 1
Given Input Data is 558, 226, 585
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 226 is 2 x 113
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(558, 226) = 63054
GCD(558, 226) = ( 558 x 226 ) / 63054
GCD(558, 226) = 126108 / 63054
GCD(558, 226) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 585
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 585) = 1170
GCD(2, 585) = ( 2 x 585 ) / 1170
GCD(2, 585) = 1170 / 1170
GCD(2, 585) = 1
GCD of 558, 226, 585 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 558, 226, 585?
GCD of 558, 226, 585 is 1
2. Where do I get the detailed procedure to find GCD of 558, 226, 585?
You can find a detailed procedure to find GCD of 558, 226, 585 on our page.
3. How to find GCD of 558, 226, 585 on a calculator?
You can find the GCD of 558, 226, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.