GCD of 333, 864, 432 Calculator

Given Input numbers are 333, 864, 432

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

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

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 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

Greatest Common Divisior

We found the divisors of 333, 864, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 864, 432 is 9.

Therefore, GCD of numbers 333, 864, 432 is 9

Given Input Data is 333, 864, 432

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

Prime Factorization of 333 is 3 x 3 x 37

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

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

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(333, 864) = 31968

GCD(333, 864) = ( 333 x 864 ) / 31968

GCD(333, 864) = 287712 / 31968

GCD(333, 864) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 432

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

LCM(9, 432) = 432

GCD(9, 432) = ( 9 x 432 ) / 432

GCD(9, 432) = 3888 / 432

GCD(9, 432) = 9

GCD of 333, 864, 432 is 9

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• GCD of 177, 175, 551
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1. What is the GCD of 333, 864, 432?

GCD of 333, 864, 432 is 9

2. Where do I get the detailed procedure to find GCD of 333, 864, 432?

You can find a detailed procedure to find GCD of 333, 864, 432 on our page.

3. How to find GCD of 333, 864, 432 on a calculator?

You can find the GCD of 333, 864, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.