GCD of 459, 284, 272 Calculator

Given Input numbers are 459, 284, 272

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 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 459, 284, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 284, 272 is 1.

Therefore, GCD of numbers 459, 284, 272 is 1

Given Input Data is 459, 284, 272

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 284 is 2 x 2 x 71

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(459, 284) = 130356

GCD(459, 284) = ( 459 x 284 ) / 130356

GCD(459, 284) = 130356 / 130356

GCD(459, 284) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 459, 284, 272 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 459, 284, 272?

GCD of 459, 284, 272 is 1

2. Where do I get the detailed procedure to find GCD of 459, 284, 272?

You can find a detailed procedure to find GCD of 459, 284, 272 on our page.

3. How to find GCD of 459, 284, 272 on a calculator?

You can find the GCD of 459, 284, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.