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 70, 604, 585, 255 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 604, 585, 255 is 1
GCD(70, 604, 585, 255) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 604, 585, 255 is 1
GCD(70, 604, 585, 255) = 1
Given Input numbers are 70, 604, 585, 255
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
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 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Greatest Common Divisior
We found the divisors of 70, 604, 585, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 604, 585, 255 is 1.
Therefore, GCD of numbers 70, 604, 585, 255 is 1
Given Input Data is 70, 604, 585, 255
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 255 is 3 x 5 x 17
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(70, 604) = 21140
GCD(70, 604) = ( 70 x 604 ) / 21140
GCD(70, 604) = 42280 / 21140
GCD(70, 604) = 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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 255) = 255
GCD(1, 255) = ( 1 x 255 ) / 255
GCD(1, 255) = 255 / 255
GCD(1, 255) = 1
GCD of 70, 604, 585, 255 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 604, 585, 255?
GCD of 70, 604, 585, 255 is 1
2. Where do I get the detailed procedure to find GCD of 70, 604, 585, 255?
You can find a detailed procedure to find GCD of 70, 604, 585, 255 on our page.
3. How to find GCD of 70, 604, 585, 255 on a calculator?
You can find the GCD of 70, 604, 585, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.