GCD of 394, 228, 398 Calculator

Given Input numbers are 394, 228, 398

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 398

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

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 394, 228, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 228, 398 is 2.

Therefore, GCD of numbers 394, 228, 398 is 2

Given Input Data is 394, 228, 398

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 398 is 2 x 199

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(394, 228) = 44916

GCD(394, 228) = ( 394 x 228 ) / 44916

GCD(394, 228) = 89832 / 44916

GCD(394, 228) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

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

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

GCD of 394, 228, 398 is 2

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1. What is the GCD of 394, 228, 398?

GCD of 394, 228, 398 is 2

2. Where do I get the detailed procedure to find GCD of 394, 228, 398?

You can find a detailed procedure to find GCD of 394, 228, 398 on our page.

3. How to find GCD of 394, 228, 398 on a calculator?

You can find the GCD of 394, 228, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.