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 85, 478, 565, 585 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 478, 565, 585 is 1
GCD(85, 478, 565, 585) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 478, 565, 585 is 1
GCD(85, 478, 565, 585) = 1
Given Input numbers are 85, 478, 565, 585
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
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 85, 478, 565, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 478, 565, 585 is 1.
Therefore, GCD of numbers 85, 478, 565, 585 is 1
Given Input Data is 85, 478, 565, 585
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 478 is 2 x 239
Prime Factorization of 565 is 5 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(85, 478) = 40630
GCD(85, 478) = ( 85 x 478 ) / 40630
GCD(85, 478) = 40630 / 40630
GCD(85, 478) = 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 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 85, 478, 565, 585 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 478, 565, 585?
GCD of 85, 478, 565, 585 is 1
2. Where do I get the detailed procedure to find GCD of 85, 478, 565, 585?
You can find a detailed procedure to find GCD of 85, 478, 565, 585 on our page.
3. How to find GCD of 85, 478, 565, 585 on a calculator?
You can find the GCD of 85, 478, 565, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.