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 27, 363, 663, 931 i.e. 1 largest integer that divides all the numbers equally.
GCD of 27, 363, 663, 931 is 1
GCD(27, 363, 663, 931) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 363, 663, 931 is 1
GCD(27, 363, 663, 931) = 1
Given Input numbers are 27, 363, 663, 931
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Greatest Common Divisior
We found the divisors of 27, 363, 663, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 363, 663, 931 is 1.
Therefore, GCD of numbers 27, 363, 663, 931 is 1
Given Input Data is 27, 363, 663, 931
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 931 is 7 x 7 x 19
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(27, 363) = 3267
GCD(27, 363) = ( 27 x 363 ) / 3267
GCD(27, 363) = 9801 / 3267
GCD(27, 363) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 663) = 663
GCD(3, 663) = ( 3 x 663 ) / 663
GCD(3, 663) = 1989 / 663
GCD(3, 663) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 931) = 2793
GCD(3, 931) = ( 3 x 931 ) / 2793
GCD(3, 931) = 2793 / 2793
GCD(3, 931) = 1
GCD of 27, 363, 663, 931 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 27, 363, 663, 931?
GCD of 27, 363, 663, 931 is 1
2. Where do I get the detailed procedure to find GCD of 27, 363, 663, 931?
You can find a detailed procedure to find GCD of 27, 363, 663, 931 on our page.
3. How to find GCD of 27, 363, 663, 931 on a calculator?
You can find the GCD of 27, 363, 663, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.