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, 138, 226, 555 i.e. 1 largest integer that divides all the numbers equally.
GCD of 636, 138, 226, 555 is 1
GCD(636, 138, 226, 555) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 636, 138, 226, 555 is 1
GCD(636, 138, 226, 555) = 1
Given Input numbers are 636, 138, 226, 555
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 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Greatest Common Divisior
We found the divisors of 636, 138, 226, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 138, 226, 555 is 1.
Therefore, GCD of numbers 636, 138, 226, 555 is 1
Given Input Data is 636, 138, 226, 555
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 138 is 2 x 3 x 23
Prime Factorization of 226 is 2 x 113
Prime Factorization of 555 is 3 x 5 x 37
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, 138) = 14628
GCD(636, 138) = ( 636 x 138 ) / 14628
GCD(636, 138) = 87768 / 14628
GCD(636, 138) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 226
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 226) = 678
GCD(6, 226) = ( 6 x 226 ) / 678
GCD(6, 226) = 1356 / 678
GCD(6, 226) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 555) = 1110
GCD(2, 555) = ( 2 x 555 ) / 1110
GCD(2, 555) = 1110 / 1110
GCD(2, 555) = 1
GCD of 636, 138, 226, 555 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 636, 138, 226, 555?
GCD of 636, 138, 226, 555 is 1
2. Where do I get the detailed procedure to find GCD of 636, 138, 226, 555?
You can find a detailed procedure to find GCD of 636, 138, 226, 555 on our page.
3. How to find GCD of 636, 138, 226, 555 on a calculator?
You can find the GCD of 636, 138, 226, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.