GCD of 351, 999, 432 Calculator

Given Input numbers are 351, 999, 432

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

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 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 351, 999, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 999, 432 is 27.

Therefore, GCD of numbers 351, 999, 432 is 27

Given Input Data is 351, 999, 432

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

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

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 3³

Multiplying them we get the GCD as 27

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(351, 999) = 12987

GCD(351, 999) = ( 351 x 999 ) / 12987

GCD(351, 999) = 350649 / 12987

GCD(351, 999) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 432

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

LCM(27, 432) = 432

GCD(27, 432) = ( 27 x 432 ) / 432

GCD(27, 432) = 11664 / 432

GCD(27, 432) = 27

GCD of 351, 999, 432 is 27

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 277, 805
• GCD of 277, 213, 206
• GCD of 208, 759, 420
• GCD of 598, 835, 758
• GCD of 580, 220, 656

1. What is the GCD of 351, 999, 432?

GCD of 351, 999, 432 is 27

2. Where do I get the detailed procedure to find GCD of 351, 999, 432?

You can find a detailed procedure to find GCD of 351, 999, 432 on our page.

3. How to find GCD of 351, 999, 432 on a calculator?

You can find the GCD of 351, 999, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.