GCD of 399, 289, 996, 317 Calculator

Given Input numbers are 399, 289, 996, 317

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 289

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

1, 17, 289

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 399, 289, 996, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 289, 996, 317 is 1.

Therefore, GCD of numbers 399, 289, 996, 317 is 1

Given Input Data is 399, 289, 996, 317

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 289 is 17 x 17

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 317 is 317

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(399, 289) = 115311

GCD(399, 289) = ( 399 x 289 ) / 115311

GCD(399, 289) = 115311 / 115311

GCD(399, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

GCD of 399, 289, 996, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 497, 256, 854
• GCD of 510, 245, 183, 199
• GCD of 919, 546, 774, 896
• GCD of 910, 319, 276, 463
• GCD of 587, 787, 758, 946

1. What is the GCD of 399, 289, 996, 317?

GCD of 399, 289, 996, 317 is 1

2. Where do I get the detailed procedure to find GCD of 399, 289, 996, 317?

You can find a detailed procedure to find GCD of 399, 289, 996, 317 on our page.

3. How to find GCD of 399, 289, 996, 317 on a calculator?

You can find the GCD of 399, 289, 996, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.