GCD of 338, 594, 28, 133 Calculator

Given Input numbers are 338, 594, 28, 133

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 338, 594, 28, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 594, 28, 133 is 1.

Therefore, GCD of numbers 338, 594, 28, 133 is 1

Given Input Data is 338, 594, 28, 133

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

Prime Factorization of 338 is 2 x 13 x 13

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 133 is 7 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(338, 594) = 100386

GCD(338, 594) = ( 338 x 594 ) / 100386

GCD(338, 594) = 200772 / 100386

GCD(338, 594) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 133

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

LCM(2, 133) = 266

GCD(2, 133) = ( 2 x 133 ) / 266

GCD(2, 133) = 266 / 266

GCD(2, 133) = 1

GCD of 338, 594, 28, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 939, 54, 621
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1. What is the GCD of 338, 594, 28, 133?

GCD of 338, 594, 28, 133 is 1

2. Where do I get the detailed procedure to find GCD of 338, 594, 28, 133?

You can find a detailed procedure to find GCD of 338, 594, 28, 133 on our page.

3. How to find GCD of 338, 594, 28, 133 on a calculator?

You can find the GCD of 338, 594, 28, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.