GCD of 216, 990, 163, 868 Calculator

Given Input numbers are 216, 990, 163, 868

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 216, 990, 163, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 990, 163, 868 is 1.

Therefore, GCD of numbers 216, 990, 163, 868 is 1

Given Input Data is 216, 990, 163, 868

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 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 163 is 163

Prime Factorization of 868 is 2 x 2 x 7 x 31

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, 990) = 11880

GCD(216, 990) = ( 216 x 990 ) / 11880

GCD(216, 990) = 213840 / 11880

GCD(216, 990) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 163

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

LCM(18, 163) = 2934

GCD(18, 163) = ( 18 x 163 ) / 2934

GCD(18, 163) = 2934 / 2934

GCD(18, 163) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 216, 990, 163, 868 is 1

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1. What is the GCD of 216, 990, 163, 868?

GCD of 216, 990, 163, 868 is 1

2. Where do I get the detailed procedure to find GCD of 216, 990, 163, 868?

You can find a detailed procedure to find GCD of 216, 990, 163, 868 on our page.

3. How to find GCD of 216, 990, 163, 868 on a calculator?

You can find the GCD of 216, 990, 163, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.