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 636, 188, 55, 204 i.e. 1 largest integer that divides all the numbers equally.
GCD of 636, 188, 55, 204 is 1
GCD(636, 188, 55, 204) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 636, 188, 55, 204 is 1
GCD(636, 188, 55, 204) = 1
Given Input numbers are 636, 188, 55, 204
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
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 636, 188, 55, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 188, 55, 204 is 1.
Therefore, GCD of numbers 636, 188, 55, 204 is 1
Given Input Data is 636, 188, 55, 204
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 55 is 5 x 11
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(636, 188) = 29892
GCD(636, 188) = ( 636 x 188 ) / 29892
GCD(636, 188) = 119568 / 29892
GCD(636, 188) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 55) = 220
GCD(4, 55) = ( 4 x 55 ) / 220
GCD(4, 55) = 220 / 220
GCD(4, 55) = 1
Step3:
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 636, 188, 55, 204 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 636, 188, 55, 204?
GCD of 636, 188, 55, 204 is 1
2. Where do I get the detailed procedure to find GCD of 636, 188, 55, 204?
You can find a detailed procedure to find GCD of 636, 188, 55, 204 on our page.
3. How to find GCD of 636, 188, 55, 204 on a calculator?
You can find the GCD of 636, 188, 55, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.