GCD of 459, 288, 225 Calculator

Given Input numbers are 459, 288, 225

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 459, 288, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 288, 225 is 9.

Therefore, GCD of numbers 459, 288, 225 is 9

Given Input Data is 459, 288, 225

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(459, 288) = 14688

GCD(459, 288) = ( 459 x 288 ) / 14688

GCD(459, 288) = 132192 / 14688

GCD(459, 288) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 225

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

LCM(9, 225) = 225

GCD(9, 225) = ( 9 x 225 ) / 225

GCD(9, 225) = 2025 / 225

GCD(9, 225) = 9

GCD of 459, 288, 225 is 9

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1. What is the GCD of 459, 288, 225?

GCD of 459, 288, 225 is 9

2. Where do I get the detailed procedure to find GCD of 459, 288, 225?

You can find a detailed procedure to find GCD of 459, 288, 225 on our page.

3. How to find GCD of 459, 288, 225 on a calculator?

You can find the GCD of 459, 288, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.