GCD of 204, 312, 24, 338 Calculator

Given Input numbers are 204, 312, 24, 338

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 338

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

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 204, 312, 24, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 312, 24, 338 is 2.

Therefore, GCD of numbers 204, 312, 24, 338 is 2

Given Input Data is 204, 312, 24, 338

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 338 is 2 x 13 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(204, 312) = 5304

GCD(204, 312) = ( 204 x 312 ) / 5304

GCD(204, 312) = 63648 / 5304

GCD(204, 312) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 24

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

LCM(12, 24) = 24

GCD(12, 24) = ( 12 x 24 ) / 24

GCD(12, 24) = 288 / 24

GCD(12, 24) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 338

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

LCM(12, 338) = 2028

GCD(12, 338) = ( 12 x 338 ) / 2028

GCD(12, 338) = 4056 / 2028

GCD(12, 338) = 2

GCD of 204, 312, 24, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 891, 29, 483
• GCD of 748, 185, 59, 623
• GCD of 825, 397, 42, 253
• GCD of 368, 271, 77, 698
• GCD of 338, 284, 30, 289

1. What is the GCD of 204, 312, 24, 338?

GCD of 204, 312, 24, 338 is 2

2. Where do I get the detailed procedure to find GCD of 204, 312, 24, 338?

You can find a detailed procedure to find GCD of 204, 312, 24, 338 on our page.

3. How to find GCD of 204, 312, 24, 338 on a calculator?

You can find the GCD of 204, 312, 24, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.