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, 660, 27, 640 i.e. 1 largest integer that divides all the numbers equally.
GCD of 636, 660, 27, 640 is 1
GCD(636, 660, 27, 640) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 636, 660, 27, 640 is 1
GCD(636, 660, 27, 640) = 1
Given Input numbers are 636, 660, 27, 640
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 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Greatest Common Divisior
We found the divisors of 636, 660, 27, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 660, 27, 640 is 1.
Therefore, GCD of numbers 636, 660, 27, 640 is 1
Given Input Data is 636, 660, 27, 640
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 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
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, 660) = 34980
GCD(636, 660) = ( 636 x 660 ) / 34980
GCD(636, 660) = 419760 / 34980
GCD(636, 660) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 27) = 108
GCD(12, 27) = ( 12 x 27 ) / 108
GCD(12, 27) = 324 / 108
GCD(12, 27) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 640
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 640) = 1920
GCD(3, 640) = ( 3 x 640 ) / 1920
GCD(3, 640) = 1920 / 1920
GCD(3, 640) = 1
GCD of 636, 660, 27, 640 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 636, 660, 27, 640?
GCD of 636, 660, 27, 640 is 1
2. Where do I get the detailed procedure to find GCD of 636, 660, 27, 640?
You can find a detailed procedure to find GCD of 636, 660, 27, 640 on our page.
3. How to find GCD of 636, 660, 27, 640 on a calculator?
You can find the GCD of 636, 660, 27, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.