GCD of 432, 462, 918 Calculator

Given Input numbers are 432, 462, 918

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 432, 462, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 462, 918 is 6.

Therefore, GCD of numbers 432, 462, 918 is 6

Given Input Data is 432, 462, 918

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 462 is 2 x 3 x 7 x 11

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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, 462) = 33264

GCD(432, 462) = ( 432 x 462 ) / 33264

GCD(432, 462) = 199584 / 33264

GCD(432, 462) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 918

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

LCM(6, 918) = 918

GCD(6, 918) = ( 6 x 918 ) / 918

GCD(6, 918) = 5508 / 918

GCD(6, 918) = 6

GCD of 432, 462, 918 is 6

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• GCD of 290, 313, 174
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• GCD of 429, 651, 812
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1. What is the GCD of 432, 462, 918?

GCD of 432, 462, 918 is 6

2. Where do I get the detailed procedure to find GCD of 432, 462, 918?

You can find a detailed procedure to find GCD of 432, 462, 918 on our page.

3. How to find GCD of 432, 462, 918 on a calculator?

You can find the GCD of 432, 462, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.