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 204, 189, 27, 953 i.e. 1 largest integer that divides all the numbers equally.
GCD of 204, 189, 27, 953 is 1
GCD(204, 189, 27, 953) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 204, 189, 27, 953 is 1
GCD(204, 189, 27, 953) = 1
Given Input numbers are 204, 189, 27, 953
To find the GCD of numbers using factoring list out all the divisors of each number
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 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Greatest Common Divisior
We found the divisors of 204, 189, 27, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 189, 27, 953 is 1.
Therefore, GCD of numbers 204, 189, 27, 953 is 1
Given Input Data is 204, 189, 27, 953
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 953 is 953
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(204, 189) = 12852
GCD(204, 189) = ( 204 x 189 ) / 12852
GCD(204, 189) = 38556 / 12852
GCD(204, 189) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 27) = 27
GCD(3, 27) = ( 3 x 27 ) / 27
GCD(3, 27) = 81 / 27
GCD(3, 27) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 953
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 953) = 2859
GCD(3, 953) = ( 3 x 953 ) / 2859
GCD(3, 953) = 2859 / 2859
GCD(3, 953) = 1
GCD of 204, 189, 27, 953 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 204, 189, 27, 953?
GCD of 204, 189, 27, 953 is 1
2. Where do I get the detailed procedure to find GCD of 204, 189, 27, 953?
You can find a detailed procedure to find GCD of 204, 189, 27, 953 on our page.
3. How to find GCD of 204, 189, 27, 953 on a calculator?
You can find the GCD of 204, 189, 27, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.