GCD of 272, 255, 296 Calculator

Given Input numbers are 272, 255, 296

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

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

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

Greatest Common Divisior

We found the divisors of 272, 255, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 255, 296 is 1.

Therefore, GCD of numbers 272, 255, 296 is 1

Given Input Data is 272, 255, 296

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

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(272, 255) = 4080

GCD(272, 255) = ( 272 x 255 ) / 4080

GCD(272, 255) = 69360 / 4080

GCD(272, 255) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 296

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

LCM(17, 296) = 5032

GCD(17, 296) = ( 17 x 296 ) / 5032

GCD(17, 296) = 5032 / 5032

GCD(17, 296) = 1

GCD of 272, 255, 296 is 1

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1. What is the GCD of 272, 255, 296?

GCD of 272, 255, 296 is 1

2. Where do I get the detailed procedure to find GCD of 272, 255, 296?

You can find a detailed procedure to find GCD of 272, 255, 296 on our page.

3. How to find GCD of 272, 255, 296 on a calculator?

You can find the GCD of 272, 255, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.