GCD of 589, 814, 12, 384 Calculator

Given Input numbers are 589, 814, 12, 384

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

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

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

Greatest Common Divisior

We found the divisors of 589, 814, 12, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 814, 12, 384 is 1.

Therefore, GCD of numbers 589, 814, 12, 384 is 1

Given Input Data is 589, 814, 12, 384

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 12 is 2 x 2 x 3

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

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(589, 814) = 479446

GCD(589, 814) = ( 589 x 814 ) / 479446

GCD(589, 814) = 479446 / 479446

GCD(589, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 589, 814, 12, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 900, 28, 643
• GCD of 228, 886, 25, 319
• GCD of 583, 967, 46, 578
• GCD of 466, 799, 80, 344
• GCD of 369, 648, 54, 327

1. What is the GCD of 589, 814, 12, 384?

GCD of 589, 814, 12, 384 is 1

2. Where do I get the detailed procedure to find GCD of 589, 814, 12, 384?

You can find a detailed procedure to find GCD of 589, 814, 12, 384 on our page.

3. How to find GCD of 589, 814, 12, 384 on a calculator?

You can find the GCD of 589, 814, 12, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.