GCD of 272, 816, 27, 563 Calculator

Given Input numbers are 272, 816, 27, 563

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 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 272, 816, 27, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 816, 27, 563 is 1.

Therefore, GCD of numbers 272, 816, 27, 563 is 1

Given Input Data is 272, 816, 27, 563

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 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 563 is 563

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, 816) = 816

GCD(272, 816) = ( 272 x 816 ) / 816

GCD(272, 816) = 221952 / 816

GCD(272, 816) = 272

Step2:

Here we consider the GCD from the above i.e. 272 as first number and the next as 27

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

LCM(272, 27) = 7344

GCD(272, 27) = ( 272 x 27 ) / 7344

GCD(272, 27) = 7344 / 7344

GCD(272, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 272, 816, 27, 563 is 1

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1. What is the GCD of 272, 816, 27, 563?

GCD of 272, 816, 27, 563 is 1

2. Where do I get the detailed procedure to find GCD of 272, 816, 27, 563?

You can find a detailed procedure to find GCD of 272, 816, 27, 563 on our page.

3. How to find GCD of 272, 816, 27, 563 on a calculator?

You can find the GCD of 272, 816, 27, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.