GCD of 219, 216, 27, 996 Calculator

Given Input numbers are 219, 216, 27, 996

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

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 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 219, 216, 27, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 216, 27, 996 is 3.

Therefore, GCD of numbers 219, 216, 27, 996 is 3

Given Input Data is 219, 216, 27, 996

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

Prime Factorization of 219 is 3 x 73

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 996 is 2 x 2 x 3 x 83

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(219, 216) = 15768

GCD(219, 216) = ( 219 x 216 ) / 15768

GCD(219, 216) = 47304 / 15768

GCD(219, 216) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

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

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 996

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

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

GCD(3, 996) = 2988 / 996

GCD(3, 996) = 3

GCD of 219, 216, 27, 996 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 430, 90, 994
• GCD of 572, 748, 73, 895
• GCD of 213, 831, 95, 322
• GCD of 968, 372, 51, 130
• GCD of 784, 665, 28, 600

1. What is the GCD of 219, 216, 27, 996?

GCD of 219, 216, 27, 996 is 3

2. Where do I get the detailed procedure to find GCD of 219, 216, 27, 996?

You can find a detailed procedure to find GCD of 219, 216, 27, 996 on our page.

3. How to find GCD of 219, 216, 27, 996 on a calculator?

You can find the GCD of 219, 216, 27, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.