GCD of 449, 289, 339 Calculator

Given Input numbers are 449, 289, 339

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 449, 289, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 289, 339 is 1.

Therefore, GCD of numbers 449, 289, 339 is 1

Given Input Data is 449, 289, 339

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

Prime Factorization of 449 is 449

Prime Factorization of 289 is 17 x 17

Prime Factorization of 339 is 3 x 113

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, 289) = 129761

GCD(449, 289) = ( 449 x 289 ) / 129761

GCD(449, 289) = 129761 / 129761

GCD(449, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 449, 289, 339 is 1

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1. What is the GCD of 449, 289, 339?

GCD of 449, 289, 339 is 1

2. Where do I get the detailed procedure to find GCD of 449, 289, 339?

You can find a detailed procedure to find GCD of 449, 289, 339 on our page.

3. How to find GCD of 449, 289, 339 on a calculator?

You can find the GCD of 449, 289, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.