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, 341, 617 i.e. 1 largest integer that divides all the numbers equally.
GCD of 108, 341, 617 is 1
GCD(108, 341, 617) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 341, 617 is 1
GCD(108, 341, 617) = 1
Given Input numbers are 108, 341, 617
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 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Greatest Common Divisior
We found the divisors of 108, 341, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 341, 617 is 1.
Therefore, GCD of numbers 108, 341, 617 is 1
Given Input Data is 108, 341, 617
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 341 is 11 x 31
Prime Factorization of 617 is 617
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, 341) = 36828
GCD(108, 341) = ( 108 x 341 ) / 36828
GCD(108, 341) = 36828 / 36828
GCD(108, 341) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 617) = 617
GCD(1, 617) = ( 1 x 617 ) / 617
GCD(1, 617) = 617 / 617
GCD(1, 617) = 1
GCD of 108, 341, 617 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 341, 617?
GCD of 108, 341, 617 is 1
2. Where do I get the detailed procedure to find GCD of 108, 341, 617?
You can find a detailed procedure to find GCD of 108, 341, 617 on our page.
3. How to find GCD of 108, 341, 617 on a calculator?
You can find the GCD of 108, 341, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.