GCD of 449, 299, 814 Calculator

Given Input numbers are 449, 299, 814

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 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 449, 299, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 299, 814 is 1.

Therefore, GCD of numbers 449, 299, 814 is 1

Given Input Data is 449, 299, 814

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

Prime Factorization of 449 is 449

Prime Factorization of 299 is 13 x 23

Prime Factorization of 814 is 2 x 11 x 37

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, 299) = 134251

GCD(449, 299) = ( 449 x 299 ) / 134251

GCD(449, 299) = 134251 / 134251

GCD(449, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 449, 299, 814 is 1

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1. What is the GCD of 449, 299, 814?

GCD of 449, 299, 814 is 1

2. Where do I get the detailed procedure to find GCD of 449, 299, 814?

You can find a detailed procedure to find GCD of 449, 299, 814 on our page.

3. How to find GCD of 449, 299, 814 on a calculator?

You can find the GCD of 449, 299, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.