GCD of 299, 476, 115, 309 Calculator

Given Input numbers are 299, 476, 115, 309

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 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 299, 476, 115, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 476, 115, 309 is 1.

Therefore, GCD of numbers 299, 476, 115, 309 is 1

Given Input Data is 299, 476, 115, 309

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 115 is 5 x 23

Prime Factorization of 309 is 3 x 103

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, 476) = 142324

GCD(299, 476) = ( 299 x 476 ) / 142324

GCD(299, 476) = 142324 / 142324

GCD(299, 476) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 299, 476, 115, 309 is 1

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1. What is the GCD of 299, 476, 115, 309?

GCD of 299, 476, 115, 309 is 1

2. Where do I get the detailed procedure to find GCD of 299, 476, 115, 309?

You can find a detailed procedure to find GCD of 299, 476, 115, 309 on our page.

3. How to find GCD of 299, 476, 115, 309 on a calculator?

You can find the GCD of 299, 476, 115, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.