GCD of 728, 108, 623 Calculator

Given Input numbers are 728, 108, 623

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

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 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 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 728, 108, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 108, 623 is 1.

Therefore, GCD of numbers 728, 108, 623 is 1

Given Input Data is 728, 108, 623

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

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

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

Prime Factorization of 623 is 7 x 89

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(728, 108) = 19656

GCD(728, 108) = ( 728 x 108 ) / 19656

GCD(728, 108) = 78624 / 19656

GCD(728, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 623

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

LCM(4, 623) = 2492

GCD(4, 623) = ( 4 x 623 ) / 2492

GCD(4, 623) = 2492 / 2492

GCD(4, 623) = 1

GCD of 728, 108, 623 is 1

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1. What is the GCD of 728, 108, 623?

GCD of 728, 108, 623 is 1

2. Where do I get the detailed procedure to find GCD of 728, 108, 623?

You can find a detailed procedure to find GCD of 728, 108, 623 on our page.

3. How to find GCD of 728, 108, 623 on a calculator?

You can find the GCD of 728, 108, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.