GCD of 27, 363, 663, 931 Calculator

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.

• GCD of 71, 991, 548, 258
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• GCD of 21, 735, 830, 622
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• GCD of 88, 710, 902, 818

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.