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, 908, 565, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 585, 908, 565, 178 is 1
GCD(585, 908, 565, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 908, 565, 178 is 1
GCD(585, 908, 565, 178) = 1
Given Input numbers are 585, 908, 565, 178
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 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 585, 908, 565, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 908, 565, 178 is 1.
Therefore, GCD of numbers 585, 908, 565, 178 is 1
Given Input Data is 585, 908, 565, 178
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 908 is 2 x 2 x 227
Prime Factorization of 565 is 5 x 113
Prime Factorization of 178 is 2 x 89
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(585, 908) = 531180
GCD(585, 908) = ( 585 x 908 ) / 531180
GCD(585, 908) = 531180 / 531180
GCD(585, 908) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
GCD(1, 565) = 565 / 565
GCD(1, 565) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 585, 908, 565, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 585, 908, 565, 178?
GCD of 585, 908, 565, 178 is 1
2. Where do I get the detailed procedure to find GCD of 585, 908, 565, 178?
You can find a detailed procedure to find GCD of 585, 908, 565, 178 on our page.
3. How to find GCD of 585, 908, 565, 178 on a calculator?
You can find the GCD of 585, 908, 565, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.