GCD of 312, 576, 12, 587 Calculator

Given Input numbers are 312, 576, 12, 587

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Greatest Common Divisior

We found the divisors of 312, 576, 12, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 576, 12, 587 is 1.

Therefore, GCD of numbers 312, 576, 12, 587 is 1

Given Input Data is 312, 576, 12, 587

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 587 is 587

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(312, 576) = 7488

GCD(312, 576) = ( 312 x 576 ) / 7488

GCD(312, 576) = 179712 / 7488

GCD(312, 576) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 12

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

LCM(24, 12) = 24

GCD(24, 12) = ( 24 x 12 ) / 24

GCD(24, 12) = 288 / 24

GCD(24, 12) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 587

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

LCM(12, 587) = 7044

GCD(12, 587) = ( 12 x 587 ) / 7044

GCD(12, 587) = 7044 / 7044

GCD(12, 587) = 1

GCD of 312, 576, 12, 587 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 447, 89, 572
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• GCD of 133, 240, 97, 151

1. What is the GCD of 312, 576, 12, 587?

GCD of 312, 576, 12, 587 is 1

2. Where do I get the detailed procedure to find GCD of 312, 576, 12, 587?

You can find a detailed procedure to find GCD of 312, 576, 12, 587 on our page.

3. How to find GCD of 312, 576, 12, 587 on a calculator?

You can find the GCD of 312, 576, 12, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.