GCD of 199, 195, 338 Calculator

Given Input numbers are 199, 195, 338

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

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 199, 195, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 195, 338 is 1.

Therefore, GCD of numbers 199, 195, 338 is 1

Given Input Data is 199, 195, 338

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

Prime Factorization of 199 is 199

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 338 is 2 x 13 x 13

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(199, 195) = 38805

GCD(199, 195) = ( 199 x 195 ) / 38805

GCD(199, 195) = 38805 / 38805

GCD(199, 195) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 199, 195, 338 is 1

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1. What is the GCD of 199, 195, 338?

GCD of 199, 195, 338 is 1

2. Where do I get the detailed procedure to find GCD of 199, 195, 338?

You can find a detailed procedure to find GCD of 199, 195, 338 on our page.

3. How to find GCD of 199, 195, 338 on a calculator?

You can find the GCD of 199, 195, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.