GCD of 576, 312, 806, 538 Calculator

Given Input numbers are 576, 312, 806, 538

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

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 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 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 576, 312, 806, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 312, 806, 538 is 2.

Therefore, GCD of numbers 576, 312, 806, 538 is 2

Given Input Data is 576, 312, 806, 538

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

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

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 538 is 2 x 269

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(576, 312) = 7488

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

GCD(576, 312) = 179712 / 7488

GCD(576, 312) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 806

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

LCM(24, 806) = 9672

GCD(24, 806) = ( 24 x 806 ) / 9672

GCD(24, 806) = 19344 / 9672

GCD(24, 806) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 538

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

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

GCD(2, 538) = 1076 / 538

GCD(2, 538) = 2

GCD of 576, 312, 806, 538 is 2

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1. What is the GCD of 576, 312, 806, 538?

GCD of 576, 312, 806, 538 is 2

2. Where do I get the detailed procedure to find GCD of 576, 312, 806, 538?

You can find a detailed procedure to find GCD of 576, 312, 806, 538 on our page.

3. How to find GCD of 576, 312, 806, 538 on a calculator?

You can find the GCD of 576, 312, 806, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.