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 13, 184, 204, 842 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 184, 204, 842 is 1
GCD(13, 184, 204, 842) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 184, 204, 842 is 1
GCD(13, 184, 204, 842) = 1
Given Input numbers are 13, 184, 204, 842
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
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 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Greatest Common Divisior
We found the divisors of 13, 184, 204, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 184, 204, 842 is 1.
Therefore, GCD of numbers 13, 184, 204, 842 is 1
Given Input Data is 13, 184, 204, 842
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 842 is 2 x 421
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(13, 184) = 2392
GCD(13, 184) = ( 13 x 184 ) / 2392
GCD(13, 184) = 2392 / 2392
GCD(13, 184) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
GCD(1, 204) = 204 / 204
GCD(1, 204) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
GCD(1, 842) = 842 / 842
GCD(1, 842) = 1
GCD of 13, 184, 204, 842 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 184, 204, 842?
GCD of 13, 184, 204, 842 is 1
2. Where do I get the detailed procedure to find GCD of 13, 184, 204, 842?
You can find a detailed procedure to find GCD of 13, 184, 204, 842 on our page.
3. How to find GCD of 13, 184, 204, 842 on a calculator?
You can find the GCD of 13, 184, 204, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.