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 184, 116, 317, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 184, 116, 317, 921 is 1
GCD(184, 116, 317, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 184, 116, 317, 921 is 1
GCD(184, 116, 317, 921) = 1
Given Input numbers are 184, 116, 317, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 184, 116, 317, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 116, 317, 921 is 1.
Therefore, GCD of numbers 184, 116, 317, 921 is 1
Given Input Data is 184, 116, 317, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 317 is 317
Prime Factorization of 921 is 3 x 307
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(184, 116) = 5336
GCD(184, 116) = ( 184 x 116 ) / 5336
GCD(184, 116) = 21344 / 5336
GCD(184, 116) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 317) = 1268
GCD(4, 317) = ( 4 x 317 ) / 1268
GCD(4, 317) = 1268 / 1268
GCD(4, 317) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
GCD of 184, 116, 317, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 184, 116, 317, 921?
GCD of 184, 116, 317, 921 is 1
2. Where do I get the detailed procedure to find GCD of 184, 116, 317, 921?
You can find a detailed procedure to find GCD of 184, 116, 317, 921 on our page.
3. How to find GCD of 184, 116, 317, 921 on a calculator?
You can find the GCD of 184, 116, 317, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.