GCD of 394, 906, 363 Calculator

Given Input numbers are 394, 906, 363

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 394, 906, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 906, 363 is 1.

Therefore, GCD of numbers 394, 906, 363 is 1

Given Input Data is 394, 906, 363

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 363 is 3 x 11 x 11

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(394, 906) = 178482

GCD(394, 906) = ( 394 x 906 ) / 178482

GCD(394, 906) = 356964 / 178482

GCD(394, 906) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 363

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

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

GCD(2, 363) = 726 / 726

GCD(2, 363) = 1

GCD of 394, 906, 363 is 1

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1. What is the GCD of 394, 906, 363?

GCD of 394, 906, 363 is 1

2. Where do I get the detailed procedure to find GCD of 394, 906, 363?

You can find a detailed procedure to find GCD of 394, 906, 363 on our page.

3. How to find GCD of 394, 906, 363 on a calculator?

You can find the GCD of 394, 906, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.