GCD of 288, 418, 273 Calculator

Given Input numbers are 288, 418, 273

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

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 288, 418, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 418, 273 is 1.

Therefore, GCD of numbers 288, 418, 273 is 1

Given Input Data is 288, 418, 273

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

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 273 is 3 x 7 x 13

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(288, 418) = 60192

GCD(288, 418) = ( 288 x 418 ) / 60192

GCD(288, 418) = 120384 / 60192

GCD(288, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 273

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

LCM(2, 273) = 546

GCD(2, 273) = ( 2 x 273 ) / 546

GCD(2, 273) = 546 / 546

GCD(2, 273) = 1

GCD of 288, 418, 273 is 1

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1. What is the GCD of 288, 418, 273?

GCD of 288, 418, 273 is 1

2. Where do I get the detailed procedure to find GCD of 288, 418, 273?

You can find a detailed procedure to find GCD of 288, 418, 273 on our page.

3. How to find GCD of 288, 418, 273 on a calculator?

You can find the GCD of 288, 418, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.