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 981, 365, 204 i.e. 1 largest integer that divides all the numbers equally.
GCD of 981, 365, 204 is 1
GCD(981, 365, 204) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 981, 365, 204 is 1
GCD(981, 365, 204) = 1
Given Input numbers are 981, 365, 204
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
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
Greatest Common Divisior
We found the divisors of 981, 365, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 365, 204 is 1.
Therefore, GCD of numbers 981, 365, 204 is 1
Given Input Data is 981, 365, 204
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 365 is 5 x 73
Prime Factorization of 204 is 2 x 2 x 3 x 17
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(981, 365) = 358065
GCD(981, 365) = ( 981 x 365 ) / 358065
GCD(981, 365) = 358065 / 358065
GCD(981, 365) = 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
GCD of 981, 365, 204 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 981, 365, 204?
GCD of 981, 365, 204 is 1
2. Where do I get the detailed procedure to find GCD of 981, 365, 204?
You can find a detailed procedure to find GCD of 981, 365, 204 on our page.
3. How to find GCD of 981, 365, 204 on a calculator?
You can find the GCD of 981, 365, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.