GCD of 986, 568, 270, 216 Calculator

Given Input numbers are 986, 568, 270, 216

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 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 986, 568, 270, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 568, 270, 216 is 2.

Therefore, GCD of numbers 986, 568, 270, 216 is 2

Given Input Data is 986, 568, 270, 216

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 568 is 2 x 2 x 2 x 71

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(986, 568) = 280024

GCD(986, 568) = ( 986 x 568 ) / 280024

GCD(986, 568) = 560048 / 280024

GCD(986, 568) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 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 986, 568, 270, 216 is 2

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1. What is the GCD of 986, 568, 270, 216?

GCD of 986, 568, 270, 216 is 2

2. Where do I get the detailed procedure to find GCD of 986, 568, 270, 216?

You can find a detailed procedure to find GCD of 986, 568, 270, 216 on our page.

3. How to find GCD of 986, 568, 270, 216 on a calculator?

You can find the GCD of 986, 568, 270, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.