GCD of 297, 286, 27, 864 Calculator

Given Input numbers are 297, 286, 27, 864

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 297, 286, 27, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 286, 27, 864 is 1.

Therefore, GCD of numbers 297, 286, 27, 864 is 1

Given Input Data is 297, 286, 27, 864

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(297, 286) = 7722

GCD(297, 286) = ( 297 x 286 ) / 7722

GCD(297, 286) = 84942 / 7722

GCD(297, 286) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 27

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(11, 27) = 297

GCD(11, 27) = ( 11 x 27 ) / 297

GCD(11, 27) = 297 / 297

GCD(11, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 297, 286, 27, 864 is 1

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1. What is the GCD of 297, 286, 27, 864?

GCD of 297, 286, 27, 864 is 1

2. Where do I get the detailed procedure to find GCD of 297, 286, 27, 864?

You can find a detailed procedure to find GCD of 297, 286, 27, 864 on our page.

3. How to find GCD of 297, 286, 27, 864 on a calculator?

You can find the GCD of 297, 286, 27, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.