GCD of 813, 384, 596, 789 Calculator

Given Input numbers are 813, 384, 596, 789

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 813, 384, 596, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 384, 596, 789 is 1.

Therefore, GCD of numbers 813, 384, 596, 789 is 1

Given Input Data is 813, 384, 596, 789

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 813 is 3 x 271

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 789 is 3 x 263

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(813, 384) = 104064

GCD(813, 384) = ( 813 x 384 ) / 104064

GCD(813, 384) = 312192 / 104064

GCD(813, 384) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 596

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

LCM(3, 596) = 1788

GCD(3, 596) = ( 3 x 596 ) / 1788

GCD(3, 596) = 1788 / 1788

GCD(3, 596) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

GCD of 813, 384, 596, 789 is 1

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1. What is the GCD of 813, 384, 596, 789?

GCD of 813, 384, 596, 789 is 1

2. Where do I get the detailed procedure to find GCD of 813, 384, 596, 789?

You can find a detailed procedure to find GCD of 813, 384, 596, 789 on our page.

3. How to find GCD of 813, 384, 596, 789 on a calculator?

You can find the GCD of 813, 384, 596, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.