GCD of 459, 594, 16, 228 Calculator

Given Input numbers are 459, 594, 16, 228

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 459, 594, 16, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 594, 16, 228 is 1.

Therefore, GCD of numbers 459, 594, 16, 228 is 1

Given Input Data is 459, 594, 16, 228

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 228 is 2 x 2 x 3 x 19

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(459, 594) = 10098

GCD(459, 594) = ( 459 x 594 ) / 10098

GCD(459, 594) = 272646 / 10098

GCD(459, 594) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 16

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

LCM(27, 16) = 432

GCD(27, 16) = ( 27 x 16 ) / 432

GCD(27, 16) = 432 / 432

GCD(27, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

GCD of 459, 594, 16, 228 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 185, 37, 598
• GCD of 462, 105, 16, 517
• GCD of 771, 394, 63, 621
• GCD of 604, 995, 20, 313
• GCD of 824, 282, 22, 518

1. What is the GCD of 459, 594, 16, 228?

GCD of 459, 594, 16, 228 is 1

2. Where do I get the detailed procedure to find GCD of 459, 594, 16, 228?

You can find a detailed procedure to find GCD of 459, 594, 16, 228 on our page.

3. How to find GCD of 459, 594, 16, 228 on a calculator?

You can find the GCD of 459, 594, 16, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.