GCD of 432, 906, 504 Calculator

Given Input numbers are 432, 906, 504

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 432, 906, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 906, 504 is 6.

Therefore, GCD of numbers 432, 906, 504 is 6

Given Input Data is 432, 906, 504

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 906 is 2 x 3 x 151

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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, 906) = 65232

GCD(432, 906) = ( 432 x 906 ) / 65232

GCD(432, 906) = 391392 / 65232

GCD(432, 906) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 504

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

LCM(6, 504) = 504

GCD(6, 504) = ( 6 x 504 ) / 504

GCD(6, 504) = 3024 / 504

GCD(6, 504) = 6

GCD of 432, 906, 504 is 6

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1. What is the GCD of 432, 906, 504?

GCD of 432, 906, 504 is 6

2. Where do I get the detailed procedure to find GCD of 432, 906, 504?

You can find a detailed procedure to find GCD of 432, 906, 504 on our page.

3. How to find GCD of 432, 906, 504 on a calculator?

You can find the GCD of 432, 906, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.