GCD of 281, 816, 511, 216 Calculator

Given Input numbers are 281, 816, 511, 216

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

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

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 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 281, 816, 511, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 281, 816, 511, 216 is 1.

Therefore, GCD of numbers 281, 816, 511, 216 is 1

Given Input Data is 281, 816, 511, 216

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

Prime Factorization of 281 is 281

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 511 is 7 x 73

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(281, 816) = 229296

GCD(281, 816) = ( 281 x 816 ) / 229296

GCD(281, 816) = 229296 / 229296

GCD(281, 816) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 511

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

LCM(1, 511) = 511

GCD(1, 511) = ( 1 x 511 ) / 511

GCD(1, 511) = 511 / 511

GCD(1, 511) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 281, 816, 511, 216 is 1

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1. What is the GCD of 281, 816, 511, 216?

GCD of 281, 816, 511, 216 is 1

2. Where do I get the detailed procedure to find GCD of 281, 816, 511, 216?

You can find a detailed procedure to find GCD of 281, 816, 511, 216 on our page.

3. How to find GCD of 281, 816, 511, 216 on a calculator?

You can find the GCD of 281, 816, 511, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.