GCD of 592, 288, 225 Calculator

Given Input numbers are 592, 288, 225

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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 592, 288, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 288, 225 is 1.

Therefore, GCD of numbers 592, 288, 225 is 1

Given Input Data is 592, 288, 225

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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

The above numbers do not have any common prime factor. So GCD is 1

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(592, 288) = 10656

GCD(592, 288) = ( 592 x 288 ) / 10656

GCD(592, 288) = 170496 / 10656

GCD(592, 288) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 225

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

LCM(16, 225) = 3600

GCD(16, 225) = ( 16 x 225 ) / 3600

GCD(16, 225) = 3600 / 3600

GCD(16, 225) = 1

GCD of 592, 288, 225 is 1

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1. What is the GCD of 592, 288, 225?

GCD of 592, 288, 225 is 1

2. Where do I get the detailed procedure to find GCD of 592, 288, 225?

You can find a detailed procedure to find GCD of 592, 288, 225 on our page.

3. How to find GCD of 592, 288, 225 on a calculator?

You can find the GCD of 592, 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.