GCD of 432, 738, 936 Calculator

Given Input numbers are 432, 738, 936

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 432, 738, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 738, 936 is 18.

Therefore, GCD of numbers 432, 738, 936 is 18

Given Input Data is 432, 738, 936

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 738 is 2 x 3 x 3 x 41

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Highest common occurrences in the given inputs are 2¹ x 3²

Multiplying them we get the GCD as 18

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, 738) = 17712

GCD(432, 738) = ( 432 x 738 ) / 17712

GCD(432, 738) = 318816 / 17712

GCD(432, 738) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 936

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

LCM(18, 936) = 936

GCD(18, 936) = ( 18 x 936 ) / 936

GCD(18, 936) = 16848 / 936

GCD(18, 936) = 18

GCD of 432, 738, 936 is 18

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 259, 665
• GCD of 976, 614, 624
• GCD of 107, 707, 574
• GCD of 111, 350, 343
• GCD of 258, 988, 723

1. What is the GCD of 432, 738, 936?

GCD of 432, 738, 936 is 18

2. Where do I get the detailed procedure to find GCD of 432, 738, 936?

You can find a detailed procedure to find GCD of 432, 738, 936 on our page.

3. How to find GCD of 432, 738, 936 on a calculator?

You can find the GCD of 432, 738, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.