GCD of 506, 108, 728 Calculator

Given Input numbers are 506, 108, 728

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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

Greatest Common Divisior

We found the divisors of 506, 108, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 108, 728 is 2.

Therefore, GCD of numbers 506, 108, 728 is 2

Given Input Data is 506, 108, 728

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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

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(506, 108) = 27324

GCD(506, 108) = ( 506 x 108 ) / 27324

GCD(506, 108) = 54648 / 27324

GCD(506, 108) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

GCD of 506, 108, 728 is 2

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1. What is the GCD of 506, 108, 728?

GCD of 506, 108, 728 is 2

2. Where do I get the detailed procedure to find GCD of 506, 108, 728?

You can find a detailed procedure to find GCD of 506, 108, 728 on our page.

3. How to find GCD of 506, 108, 728 on a calculator?

You can find the GCD of 506, 108, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.