GCD of 728, 319, 139 Calculator

Given Input numbers are 728, 319, 139

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 728, 319, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 319, 139 is 1.

Therefore, GCD of numbers 728, 319, 139 is 1

Given Input Data is 728, 319, 139

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 319 is 11 x 29

Prime Factorization of 139 is 139

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, 319) = 232232

GCD(728, 319) = ( 728 x 319 ) / 232232

GCD(728, 319) = 232232 / 232232

GCD(728, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

GCD of 728, 319, 139 is 1

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1. What is the GCD of 728, 319, 139?

GCD of 728, 319, 139 is 1

2. Where do I get the detailed procedure to find GCD of 728, 319, 139?

You can find a detailed procedure to find GCD of 728, 319, 139 on our page.

3. How to find GCD of 728, 319, 139 on a calculator?

You can find the GCD of 728, 319, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.