GCD of 23, 969, 996, 999 Calculator

Given Input numbers are 23, 969, 996, 999

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

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 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 23, 969, 996, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 969, 996, 999 is 1.

Therefore, GCD of numbers 23, 969, 996, 999 is 1

Given Input Data is 23, 969, 996, 999

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

Prime Factorization of 23 is 23

Prime Factorization of 969 is 3 x 17 x 19

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

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(23, 969) = 22287

GCD(23, 969) = ( 23 x 969 ) / 22287

GCD(23, 969) = 22287 / 22287

GCD(23, 969) = 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 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 23, 969, 996, 999 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 252, 791, 427
• GCD of 64, 839, 825, 692
• GCD of 59, 868, 739, 720
• GCD of 46, 166, 995, 340
• GCD of 92, 807, 381, 327

1. What is the GCD of 23, 969, 996, 999?

GCD of 23, 969, 996, 999 is 1

2. Where do I get the detailed procedure to find GCD of 23, 969, 996, 999?

You can find a detailed procedure to find GCD of 23, 969, 996, 999 on our page.

3. How to find GCD of 23, 969, 996, 999 on a calculator?

You can find the GCD of 23, 969, 996, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.