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 108, 239, 604, 790 i.e. 1 largest integer that divides all the numbers equally.
GCD of 108, 239, 604, 790 is 1
GCD(108, 239, 604, 790) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 239, 604, 790 is 1
GCD(108, 239, 604, 790) = 1
Given Input numbers are 108, 239, 604, 790
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Greatest Common Divisior
We found the divisors of 108, 239, 604, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 239, 604, 790 is 1.
Therefore, GCD of numbers 108, 239, 604, 790 is 1
Given Input Data is 108, 239, 604, 790
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 239 is 239
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 790 is 2 x 5 x 79
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(108, 239) = 25812
GCD(108, 239) = ( 108 x 239 ) / 25812
GCD(108, 239) = 25812 / 25812
GCD(108, 239) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 604) = 604
GCD(1, 604) = ( 1 x 604 ) / 604
GCD(1, 604) = 604 / 604
GCD(1, 604) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 790
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 790) = 790
GCD(1, 790) = ( 1 x 790 ) / 790
GCD(1, 790) = 790 / 790
GCD(1, 790) = 1
GCD of 108, 239, 604, 790 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 239, 604, 790?
GCD of 108, 239, 604, 790 is 1
2. Where do I get the detailed procedure to find GCD of 108, 239, 604, 790?
You can find a detailed procedure to find GCD of 108, 239, 604, 790 on our page.
3. How to find GCD of 108, 239, 604, 790 on a calculator?
You can find the GCD of 108, 239, 604, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.