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, 317, 537, 184 i.e. 1 largest integer that divides all the numbers equally.
GCD of 108, 317, 537, 184 is 1
GCD(108, 317, 537, 184) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 317, 537, 184 is 1
GCD(108, 317, 537, 184) = 1
Given Input numbers are 108, 317, 537, 184
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 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Greatest Common Divisior
We found the divisors of 108, 317, 537, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 317, 537, 184 is 1.
Therefore, GCD of numbers 108, 317, 537, 184 is 1
Given Input Data is 108, 317, 537, 184
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 317 is 317
Prime Factorization of 537 is 3 x 179
Prime Factorization of 184 is 2 x 2 x 2 x 23
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, 317) = 34236
GCD(108, 317) = ( 108 x 317 ) / 34236
GCD(108, 317) = 34236 / 34236
GCD(108, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 184) = 184
GCD(1, 184) = ( 1 x 184 ) / 184
GCD(1, 184) = 184 / 184
GCD(1, 184) = 1
GCD of 108, 317, 537, 184 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 317, 537, 184?
GCD of 108, 317, 537, 184 is 1
2. Where do I get the detailed procedure to find GCD of 108, 317, 537, 184?
You can find a detailed procedure to find GCD of 108, 317, 537, 184 on our page.
3. How to find GCD of 108, 317, 537, 184 on a calculator?
You can find the GCD of 108, 317, 537, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.