GCD of 728, 664, 904 Calculator

Given Input numbers are 728, 664, 904

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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 728, 664, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 664, 904 is 8.

Therefore, GCD of numbers 728, 664, 904 is 8

Given Input Data is 728, 664, 904

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 664 is 2 x 2 x 2 x 83

Prime Factorization of 904 is 2 x 2 x 2 x 113

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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, 664) = 60424

GCD(728, 664) = ( 728 x 664 ) / 60424

GCD(728, 664) = 483392 / 60424

GCD(728, 664) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 904

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

LCM(8, 904) = 904

GCD(8, 904) = ( 8 x 904 ) / 904

GCD(8, 904) = 7232 / 904

GCD(8, 904) = 8

GCD of 728, 664, 904 is 8

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1. What is the GCD of 728, 664, 904?

GCD of 728, 664, 904 is 8

2. Where do I get the detailed procedure to find GCD of 728, 664, 904?

You can find a detailed procedure to find GCD of 728, 664, 904 on our page.

3. How to find GCD of 728, 664, 904 on a calculator?

You can find the GCD of 728, 664, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.