GCD of 728, 398, 309 Calculator

Given Input numbers are 728, 398, 309

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 728, 398, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 398, 309 is 1.

Therefore, GCD of numbers 728, 398, 309 is 1

Given Input Data is 728, 398, 309

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 398 is 2 x 199

Prime Factorization of 309 is 3 x 103

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, 398) = 144872

GCD(728, 398) = ( 728 x 398 ) / 144872

GCD(728, 398) = 289744 / 144872

GCD(728, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

GCD of 728, 398, 309 is 1

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1. What is the GCD of 728, 398, 309?

GCD of 728, 398, 309 is 1

2. Where do I get the detailed procedure to find GCD of 728, 398, 309?

You can find a detailed procedure to find GCD of 728, 398, 309 on our page.

3. How to find GCD of 728, 398, 309 on a calculator?

You can find the GCD of 728, 398, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.