GCD of 999, 561, 49, 317 Calculator

Given Input numbers are 999, 561, 49, 317

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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 999, 561, 49, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 561, 49, 317 is 1.

Therefore, GCD of numbers 999, 561, 49, 317 is 1

Given Input Data is 999, 561, 49, 317

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 561 is 3 x 11 x 17

Prime Factorization of 49 is 7 x 7

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(999, 561) = 186813

GCD(999, 561) = ( 999 x 561 ) / 186813

GCD(999, 561) = 560439 / 186813

GCD(999, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 49

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

LCM(3, 49) = 147

GCD(3, 49) = ( 3 x 49 ) / 147

GCD(3, 49) = 147 / 147

GCD(3, 49) = 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 999, 561, 49, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 432, 62, 662
• GCD of 393, 102, 18, 957
• GCD of 211, 276, 92, 300
• GCD of 131, 531, 96, 327
• GCD of 366, 785, 27, 715

1. What is the GCD of 999, 561, 49, 317?

GCD of 999, 561, 49, 317 is 1

2. Where do I get the detailed procedure to find GCD of 999, 561, 49, 317?

You can find a detailed procedure to find GCD of 999, 561, 49, 317 on our page.

3. How to find GCD of 999, 561, 49, 317 on a calculator?

You can find the GCD of 999, 561, 49, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.