GCD of 31, 121, 966, 999 Calculator

Given Input numbers are 31, 121, 966, 999

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 999

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

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

Greatest Common Divisior

We found the divisors of 31, 121, 966, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 121, 966, 999 is 1.

Therefore, GCD of numbers 31, 121, 966, 999 is 1

Given Input Data is 31, 121, 966, 999

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

Prime Factorization of 31 is 31

Prime Factorization of 121 is 11 x 11

Prime Factorization of 966 is 2 x 3 x 7 x 23

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

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(31, 121) = 3751

GCD(31, 121) = ( 31 x 121 ) / 3751

GCD(31, 121) = 3751 / 3751

GCD(31, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

GCD of 31, 121, 966, 999 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 210, 320, 263
• GCD of 48, 772, 846, 555
• GCD of 45, 697, 469, 645
• GCD of 39, 939, 257, 817
• GCD of 74, 148, 432, 490

1. What is the GCD of 31, 121, 966, 999?

GCD of 31, 121, 966, 999 is 1

2. Where do I get the detailed procedure to find GCD of 31, 121, 966, 999?

You can find a detailed procedure to find GCD of 31, 121, 966, 999 on our page.

3. How to find GCD of 31, 121, 966, 999 on a calculator?

You can find the GCD of 31, 121, 966, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.