GCD of 398, 108, 187 Calculator

Given Input numbers are 398, 108, 187

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 398, 108, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 108, 187 is 1.

Therefore, GCD of numbers 398, 108, 187 is 1

Given Input Data is 398, 108, 187

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 187 is 11 x 17

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(398, 108) = 21492

GCD(398, 108) = ( 398 x 108 ) / 21492

GCD(398, 108) = 42984 / 21492

GCD(398, 108) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 187

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

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

GCD(2, 187) = 374 / 374

GCD(2, 187) = 1

GCD of 398, 108, 187 is 1

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1. What is the GCD of 398, 108, 187?

GCD of 398, 108, 187 is 1

2. Where do I get the detailed procedure to find GCD of 398, 108, 187?

You can find a detailed procedure to find GCD of 398, 108, 187 on our page.

3. How to find GCD of 398, 108, 187 on a calculator?

You can find the GCD of 398, 108, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.