GCD of 432, 855, 285, 923 Calculator

Given Input numbers are 432, 855, 285, 923

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

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 432, 855, 285, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 855, 285, 923 is 1.

Therefore, GCD of numbers 432, 855, 285, 923 is 1

Given Input Data is 432, 855, 285, 923

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 285 is 3 x 5 x 19

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(432, 855) = 41040

GCD(432, 855) = ( 432 x 855 ) / 41040

GCD(432, 855) = 369360 / 41040

GCD(432, 855) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 285

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

LCM(9, 285) = 855

GCD(9, 285) = ( 9 x 285 ) / 855

GCD(9, 285) = 2565 / 855

GCD(9, 285) = 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 432, 855, 285, 923 is 1

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1. What is the GCD of 432, 855, 285, 923?

GCD of 432, 855, 285, 923 is 1

2. Where do I get the detailed procedure to find GCD of 432, 855, 285, 923?

You can find a detailed procedure to find GCD of 432, 855, 285, 923 on our page.

3. How to find GCD of 432, 855, 285, 923 on a calculator?

You can find the GCD of 432, 855, 285, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.