GCD of 338, 243, 348 Calculator

Given Input numbers are 338, 243, 348

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 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 338, 243, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 243, 348 is 1.

Therefore, GCD of numbers 338, 243, 348 is 1

Given Input Data is 338, 243, 348

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 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 348 is 2 x 2 x 3 x 29

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, 243) = 82134

GCD(338, 243) = ( 338 x 243 ) / 82134

GCD(338, 243) = 82134 / 82134

GCD(338, 243) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 338, 243, 348 is 1

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1. What is the GCD of 338, 243, 348?

GCD of 338, 243, 348 is 1

2. Where do I get the detailed procedure to find GCD of 338, 243, 348?

You can find a detailed procedure to find GCD of 338, 243, 348 on our page.

3. How to find GCD of 338, 243, 348 on a calculator?

You can find the GCD of 338, 243, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.