GCD of 576, 498, 728, 512 Calculator

Given Input numbers are 576, 498, 728, 512

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 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 576, 498, 728, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 498, 728, 512 is 2.

Therefore, GCD of numbers 576, 498, 728, 512 is 2

Given Input Data is 576, 498, 728, 512

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 498 is 2 x 3 x 83

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 498) = 47808

GCD(576, 498) = ( 576 x 498 ) / 47808

GCD(576, 498) = 286848 / 47808

GCD(576, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 728

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

LCM(6, 728) = 2184

GCD(6, 728) = ( 6 x 728 ) / 2184

GCD(6, 728) = 4368 / 2184

GCD(6, 728) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 512

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

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

GCD(2, 512) = 1024 / 512

GCD(2, 512) = 2

GCD of 576, 498, 728, 512 is 2

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1. What is the GCD of 576, 498, 728, 512?

GCD of 576, 498, 728, 512 is 2

2. Where do I get the detailed procedure to find GCD of 576, 498, 728, 512?

You can find a detailed procedure to find GCD of 576, 498, 728, 512 on our page.

3. How to find GCD of 576, 498, 728, 512 on a calculator?

You can find the GCD of 576, 498, 728, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.