GCD of 394, 442, 13, 732 Calculator

Given Input numbers are 394, 442, 13, 732

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 394, 442, 13, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 442, 13, 732 is 1.

Therefore, GCD of numbers 394, 442, 13, 732 is 1

Given Input Data is 394, 442, 13, 732

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 13 is 13

Prime Factorization of 732 is 2 x 2 x 3 x 61

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, 442) = 87074

GCD(394, 442) = ( 394 x 442 ) / 87074

GCD(394, 442) = 174148 / 87074

GCD(394, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

GCD of 394, 442, 13, 732 is 1

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1. What is the GCD of 394, 442, 13, 732?

GCD of 394, 442, 13, 732 is 1

2. Where do I get the detailed procedure to find GCD of 394, 442, 13, 732?

You can find a detailed procedure to find GCD of 394, 442, 13, 732 on our page.

3. How to find GCD of 394, 442, 13, 732 on a calculator?

You can find the GCD of 394, 442, 13, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.