GCD of 986, 110, 216, 500 Calculator

Given Input numbers are 986, 110, 216, 500

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

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 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 986, 110, 216, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 110, 216, 500 is 2.

Therefore, GCD of numbers 986, 110, 216, 500 is 2

Given Input Data is 986, 110, 216, 500

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 110 is 2 x 5 x 11

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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(986, 110) = 54230

GCD(986, 110) = ( 986 x 110 ) / 54230

GCD(986, 110) = 108460 / 54230

GCD(986, 110) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

GCD of 986, 110, 216, 500 is 2

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1. What is the GCD of 986, 110, 216, 500?

GCD of 986, 110, 216, 500 is 2

2. Where do I get the detailed procedure to find GCD of 986, 110, 216, 500?

You can find a detailed procedure to find GCD of 986, 110, 216, 500 on our page.

3. How to find GCD of 986, 110, 216, 500 on a calculator?

You can find the GCD of 986, 110, 216, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.