GCD of 442, 657, 13, 330 Calculator

Given Input numbers are 442, 657, 13, 330

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

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 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 13

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

1, 13

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 442, 657, 13, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 657, 13, 330 is 1.

Therefore, GCD of numbers 442, 657, 13, 330 is 1

Given Input Data is 442, 657, 13, 330

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 13 is 13

Prime Factorization of 330 is 2 x 3 x 5 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(442, 657) = 290394

GCD(442, 657) = ( 442 x 657 ) / 290394

GCD(442, 657) = 290394 / 290394

GCD(442, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 442, 657, 13, 330 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 436, 28, 633
• GCD of 164, 929, 71, 673
• GCD of 663, 955, 53, 595
• GCD of 343, 557, 14, 330
• GCD of 471, 315, 24, 871

1. What is the GCD of 442, 657, 13, 330?

GCD of 442, 657, 13, 330 is 1

2. Where do I get the detailed procedure to find GCD of 442, 657, 13, 330?

You can find a detailed procedure to find GCD of 442, 657, 13, 330 on our page.

3. How to find GCD of 442, 657, 13, 330 on a calculator?

You can find the GCD of 442, 657, 13, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.