GCD of 299, 805, 13, 339 Calculator

Given Input numbers are 299, 805, 13, 339

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

Divisors of 299

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

1, 13, 23, 299

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 13

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

1, 13

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 299, 805, 13, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 805, 13, 339 is 1.

Therefore, GCD of numbers 299, 805, 13, 339 is 1

Given Input Data is 299, 805, 13, 339

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 13 is 13

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(299, 805) = 10465

GCD(299, 805) = ( 299 x 805 ) / 10465

GCD(299, 805) = 240695 / 10465

GCD(299, 805) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 13

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

LCM(23, 13) = 299

GCD(23, 13) = ( 23 x 13 ) / 299

GCD(23, 13) = 299 / 299

GCD(23, 13) = 1

Step3:

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 299, 805, 13, 339 is 1

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1. What is the GCD of 299, 805, 13, 339?

GCD of 299, 805, 13, 339 is 1

2. Where do I get the detailed procedure to find GCD of 299, 805, 13, 339?

You can find a detailed procedure to find GCD of 299, 805, 13, 339 on our page.

3. How to find GCD of 299, 805, 13, 339 on a calculator?

You can find the GCD of 299, 805, 13, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.