GCD of 288, 506, 856, 216 Calculator

Given Input numbers are 288, 506, 856, 216

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

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 288, 506, 856, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 506, 856, 216 is 2.

Therefore, GCD of numbers 288, 506, 856, 216 is 2

Given Input Data is 288, 506, 856, 216

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 506 is 2 x 11 x 23

Prime Factorization of 856 is 2 x 2 x 2 x 107

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 506) = 72864

GCD(288, 506) = ( 288 x 506 ) / 72864

GCD(288, 506) = 145728 / 72864

GCD(288, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 216

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

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

GCD(2, 216) = 432 / 216

GCD(2, 216) = 2

GCD of 288, 506, 856, 216 is 2

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1. What is the GCD of 288, 506, 856, 216?

GCD of 288, 506, 856, 216 is 2

2. Where do I get the detailed procedure to find GCD of 288, 506, 856, 216?

You can find a detailed procedure to find GCD of 288, 506, 856, 216 on our page.

3. How to find GCD of 288, 506, 856, 216 on a calculator?

You can find the GCD of 288, 506, 856, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.