GCD of 338, 372, 408 Calculator

Given Input numbers are 338, 372, 408

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 338, 372, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 372, 408 is 2.

Therefore, GCD of numbers 338, 372, 408 is 2

Given Input Data is 338, 372, 408

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 372 is 2 x 2 x 3 x 31

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(338, 372) = 62868

GCD(338, 372) = ( 338 x 372 ) / 62868

GCD(338, 372) = 125736 / 62868

GCD(338, 372) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

GCD of 338, 372, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 989, 226
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• GCD of 311, 816, 538

1. What is the GCD of 338, 372, 408?

GCD of 338, 372, 408 is 2

2. Where do I get the detailed procedure to find GCD of 338, 372, 408?

You can find a detailed procedure to find GCD of 338, 372, 408 on our page.

3. How to find GCD of 338, 372, 408 on a calculator?

You can find the GCD of 338, 372, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.