GCD of 199, 574, 872, 333 Calculator

Given Input numbers are 199, 574, 872, 333

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 199, 574, 872, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 574, 872, 333 is 1.

Therefore, GCD of numbers 199, 574, 872, 333 is 1

Given Input Data is 199, 574, 872, 333

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

Prime Factorization of 199 is 199

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 333 is 3 x 3 x 37

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, 574) = 114226

GCD(199, 574) = ( 199 x 574 ) / 114226

GCD(199, 574) = 114226 / 114226

GCD(199, 574) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 333

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

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

GCD(1, 333) = 333 / 333

GCD(1, 333) = 1

GCD of 199, 574, 872, 333 is 1

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1. What is the GCD of 199, 574, 872, 333?

GCD of 199, 574, 872, 333 is 1

2. Where do I get the detailed procedure to find GCD of 199, 574, 872, 333?

You can find a detailed procedure to find GCD of 199, 574, 872, 333 on our page.

3. How to find GCD of 199, 574, 872, 333 on a calculator?

You can find the GCD of 199, 574, 872, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.