GCD of 199, 396, 334, 798 Calculator

Given Input numbers are 199, 396, 334, 798

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 199, 396, 334, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 396, 334, 798 is 1.

Therefore, GCD of numbers 199, 396, 334, 798 is 1

Given Input Data is 199, 396, 334, 798

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

Prime Factorization of 199 is 199

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 334 is 2 x 167

Prime Factorization of 798 is 2 x 3 x 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(199, 396) = 78804

GCD(199, 396) = ( 199 x 396 ) / 78804

GCD(199, 396) = 78804 / 78804

GCD(199, 396) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 199, 396, 334, 798 is 1

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1. What is the GCD of 199, 396, 334, 798?

GCD of 199, 396, 334, 798 is 1

2. Where do I get the detailed procedure to find GCD of 199, 396, 334, 798?

You can find a detailed procedure to find GCD of 199, 396, 334, 798 on our page.

3. How to find GCD of 199, 396, 334, 798 on a calculator?

You can find the GCD of 199, 396, 334, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.