GCD of 216, 570, 289, 855 Calculator

Given Input numbers are 216, 570, 289, 855

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

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 216, 570, 289, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 570, 289, 855 is 1.

Therefore, GCD of numbers 216, 570, 289, 855 is 1

Given Input Data is 216, 570, 289, 855

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

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 289 is 17 x 17

Prime Factorization of 855 is 3 x 3 x 5 x 19

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(216, 570) = 20520

GCD(216, 570) = ( 216 x 570 ) / 20520

GCD(216, 570) = 123120 / 20520

GCD(216, 570) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 289

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

LCM(6, 289) = 1734

GCD(6, 289) = ( 6 x 289 ) / 1734

GCD(6, 289) = 1734 / 1734

GCD(6, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

GCD of 216, 570, 289, 855 is 1

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1. What is the GCD of 216, 570, 289, 855?

GCD of 216, 570, 289, 855 is 1

2. Where do I get the detailed procedure to find GCD of 216, 570, 289, 855?

You can find a detailed procedure to find GCD of 216, 570, 289, 855 on our page.

3. How to find GCD of 216, 570, 289, 855 on a calculator?

You can find the GCD of 216, 570, 289, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.