GCD of 728, 389, 788, 396 Calculator

Given Input numbers are 728, 389, 788, 396

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 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 728, 389, 788, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 389, 788, 396 is 1.

Therefore, GCD of numbers 728, 389, 788, 396 is 1

Given Input Data is 728, 389, 788, 396

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 389 is 389

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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, 389) = 283192

GCD(728, 389) = ( 728 x 389 ) / 283192

GCD(728, 389) = 283192 / 283192

GCD(728, 389) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 728, 389, 788, 396 is 1

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1. What is the GCD of 728, 389, 788, 396?

GCD of 728, 389, 788, 396 is 1

2. Where do I get the detailed procedure to find GCD of 728, 389, 788, 396?

You can find a detailed procedure to find GCD of 728, 389, 788, 396 on our page.

3. How to find GCD of 728, 389, 788, 396 on a calculator?

You can find the GCD of 728, 389, 788, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.