GCD of 138, 864, 999, 923 Calculator

Given Input numbers are 138, 864, 999, 923

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 138, 864, 999, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 864, 999, 923 is 1.

Therefore, GCD of numbers 138, 864, 999, 923 is 1

Given Input Data is 138, 864, 999, 923

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 923 is 13 x 71

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(138, 864) = 19872

GCD(138, 864) = ( 138 x 864 ) / 19872

GCD(138, 864) = 119232 / 19872

GCD(138, 864) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 999

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

LCM(6, 999) = 1998

GCD(6, 999) = ( 6 x 999 ) / 1998

GCD(6, 999) = 5994 / 1998

GCD(6, 999) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 923

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

LCM(3, 923) = 2769

GCD(3, 923) = ( 3 x 923 ) / 2769

GCD(3, 923) = 2769 / 2769

GCD(3, 923) = 1

GCD of 138, 864, 999, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 461, 654, 399
• GCD of 788, 685, 725, 344
• GCD of 138, 393, 209, 652
• GCD of 580, 817, 610, 842
• GCD of 206, 355, 705, 651

1. What is the GCD of 138, 864, 999, 923?

GCD of 138, 864, 999, 923 is 1

2. Where do I get the detailed procedure to find GCD of 138, 864, 999, 923?

You can find a detailed procedure to find GCD of 138, 864, 999, 923 on our page.

3. How to find GCD of 138, 864, 999, 923 on a calculator?

You can find the GCD of 138, 864, 999, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.