GCD of 449, 405, 16, 806 Calculator

Given Input numbers are 449, 405, 16, 806

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 449, 405, 16, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 405, 16, 806 is 1.

Therefore, GCD of numbers 449, 405, 16, 806 is 1

Given Input Data is 449, 405, 16, 806

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

Prime Factorization of 449 is 449

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 806 is 2 x 13 x 31

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(449, 405) = 181845

GCD(449, 405) = ( 449 x 405 ) / 181845

GCD(449, 405) = 181845 / 181845

GCD(449, 405) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 449, 405, 16, 806 is 1

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1. What is the GCD of 449, 405, 16, 806?

GCD of 449, 405, 16, 806 is 1

2. Where do I get the detailed procedure to find GCD of 449, 405, 16, 806?

You can find a detailed procedure to find GCD of 449, 405, 16, 806 on our page.

3. How to find GCD of 449, 405, 16, 806 on a calculator?

You can find the GCD of 449, 405, 16, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.