GCD of 299, 663, 905, 346 Calculator

Given Input numbers are 299, 663, 905, 346

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 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 299, 663, 905, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 663, 905, 346 is 1.

Therefore, GCD of numbers 299, 663, 905, 346 is 1

Given Input Data is 299, 663, 905, 346

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 905 is 5 x 181

Prime Factorization of 346 is 2 x 173

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, 663) = 15249

GCD(299, 663) = ( 299 x 663 ) / 15249

GCD(299, 663) = 198237 / 15249

GCD(299, 663) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 905

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

LCM(13, 905) = 11765

GCD(13, 905) = ( 13 x 905 ) / 11765

GCD(13, 905) = 11765 / 11765

GCD(13, 905) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 299, 663, 905, 346 is 1

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1. What is the GCD of 299, 663, 905, 346?

GCD of 299, 663, 905, 346 is 1

2. Where do I get the detailed procedure to find GCD of 299, 663, 905, 346?

You can find a detailed procedure to find GCD of 299, 663, 905, 346 on our page.

3. How to find GCD of 299, 663, 905, 346 on a calculator?

You can find the GCD of 299, 663, 905, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.