GCD of 999, 483, 333, 313 Calculator

Given Input numbers are 999, 483, 333, 313

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 999, 483, 333, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 483, 333, 313 is 1.

Therefore, GCD of numbers 999, 483, 333, 313 is 1

Given Input Data is 999, 483, 333, 313

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 313 is 313

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(999, 483) = 160839

GCD(999, 483) = ( 999 x 483 ) / 160839

GCD(999, 483) = 482517 / 160839

GCD(999, 483) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 333

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

LCM(3, 333) = 333

GCD(3, 333) = ( 3 x 333 ) / 333

GCD(3, 333) = 999 / 333

GCD(3, 333) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 313

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

LCM(3, 313) = 939

GCD(3, 313) = ( 3 x 313 ) / 939

GCD(3, 313) = 939 / 939

GCD(3, 313) = 1

GCD of 999, 483, 333, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 117, 412, 749
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• GCD of 674, 119, 961, 946

1. What is the GCD of 999, 483, 333, 313?

GCD of 999, 483, 333, 313 is 1

2. Where do I get the detailed procedure to find GCD of 999, 483, 333, 313?

You can find a detailed procedure to find GCD of 999, 483, 333, 313 on our page.

3. How to find GCD of 999, 483, 333, 313 on a calculator?

You can find the GCD of 999, 483, 333, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.