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 600, 327, 605 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 327, 605 is 1
GCD(600, 327, 605) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 327, 605 is 1
GCD(600, 327, 605) = 1
Given Input numbers are 600, 327, 605
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Greatest Common Divisior
We found the divisors of 600, 327, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 327, 605 is 1.
Therefore, GCD of numbers 600, 327, 605 is 1
Given Input Data is 600, 327, 605
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 327 is 3 x 109
Prime Factorization of 605 is 5 x 11 x 11
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(600, 327) = 65400
GCD(600, 327) = ( 600 x 327 ) / 65400
GCD(600, 327) = 196200 / 65400
GCD(600, 327) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 605) = 1815
GCD(3, 605) = ( 3 x 605 ) / 1815
GCD(3, 605) = 1815 / 1815
GCD(3, 605) = 1
GCD of 600, 327, 605 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 327, 605?
GCD of 600, 327, 605 is 1
2. Where do I get the detailed procedure to find GCD of 600, 327, 605?
You can find a detailed procedure to find GCD of 600, 327, 605 on our page.
3. How to find GCD of 600, 327, 605 on a calculator?
You can find the GCD of 600, 327, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.