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, 695, 60, 426 i.e. 1 largest integer that divides all the numbers equally.
GCD of 585, 695, 60, 426 is 1
GCD(585, 695, 60, 426) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 695, 60, 426 is 1
GCD(585, 695, 60, 426) = 1
Given Input numbers are 585, 695, 60, 426
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 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Greatest Common Divisior
We found the divisors of 585, 695, 60, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 695, 60, 426 is 1.
Therefore, GCD of numbers 585, 695, 60, 426 is 1
Given Input Data is 585, 695, 60, 426
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 695 is 5 x 139
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 426 is 2 x 3 x 71
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, 695) = 81315
GCD(585, 695) = ( 585 x 695 ) / 81315
GCD(585, 695) = 406575 / 81315
GCD(585, 695) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 60) = 60
GCD(5, 60) = ( 5 x 60 ) / 60
GCD(5, 60) = 300 / 60
GCD(5, 60) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 426) = 2130
GCD(5, 426) = ( 5 x 426 ) / 2130
GCD(5, 426) = 2130 / 2130
GCD(5, 426) = 1
GCD of 585, 695, 60, 426 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 585, 695, 60, 426?
GCD of 585, 695, 60, 426 is 1
2. Where do I get the detailed procedure to find GCD of 585, 695, 60, 426?
You can find a detailed procedure to find GCD of 585, 695, 60, 426 on our page.
3. How to find GCD of 585, 695, 60, 426 on a calculator?
You can find the GCD of 585, 695, 60, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.