GCD of 728, 304, 735 Calculator

Given Input numbers are 728, 304, 735

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 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 728, 304, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 304, 735 is 1.

Therefore, GCD of numbers 728, 304, 735 is 1

Given Input Data is 728, 304, 735

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 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 735 is 3 x 5 x 7 x 7

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, 304) = 27664

GCD(728, 304) = ( 728 x 304 ) / 27664

GCD(728, 304) = 221312 / 27664

GCD(728, 304) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 735

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

LCM(8, 735) = 5880

GCD(8, 735) = ( 8 x 735 ) / 5880

GCD(8, 735) = 5880 / 5880

GCD(8, 735) = 1

GCD of 728, 304, 735 is 1

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1. What is the GCD of 728, 304, 735?

GCD of 728, 304, 735 is 1

2. Where do I get the detailed procedure to find GCD of 728, 304, 735?

You can find a detailed procedure to find GCD of 728, 304, 735 on our page.

3. How to find GCD of 728, 304, 735 on a calculator?

You can find the GCD of 728, 304, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.