GCD of 638, 214, 199 Calculator

Given Input numbers are 638, 214, 199

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 199

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

1, 199

Greatest Common Divisior

We found the divisors of 638, 214, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 214, 199 is 1.

Therefore, GCD of numbers 638, 214, 199 is 1

Given Input Data is 638, 214, 199

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 214 is 2 x 107

Prime Factorization of 199 is 199

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(638, 214) = 68266

GCD(638, 214) = ( 638 x 214 ) / 68266

GCD(638, 214) = 136532 / 68266

GCD(638, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 199

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

LCM(2, 199) = 398

GCD(2, 199) = ( 2 x 199 ) / 398

GCD(2, 199) = 398 / 398

GCD(2, 199) = 1

GCD of 638, 214, 199 is 1

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1. What is the GCD of 638, 214, 199?

GCD of 638, 214, 199 is 1

2. Where do I get the detailed procedure to find GCD of 638, 214, 199?

You can find a detailed procedure to find GCD of 638, 214, 199 on our page.

3. How to find GCD of 638, 214, 199 on a calculator?

You can find the GCD of 638, 214, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.