GCD of 216, 226, 40, 324 Calculator

Given Input numbers are 216, 226, 40, 324

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 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 216, 226, 40, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 226, 40, 324 is 2.

Therefore, GCD of numbers 216, 226, 40, 324 is 2

Given Input Data is 216, 226, 40, 324

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 226 is 2 x 113

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 324 is 2 x 2 x 3 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(216, 226) = 24408

GCD(216, 226) = ( 216 x 226 ) / 24408

GCD(216, 226) = 48816 / 24408

GCD(216, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

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

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

GCD of 216, 226, 40, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 277, 27, 325
• GCD of 458, 780, 31, 701
• GCD of 193, 592, 95, 431
• GCD of 105, 844, 82, 332
• GCD of 348, 519, 59, 386

1. What is the GCD of 216, 226, 40, 324?

GCD of 216, 226, 40, 324 is 2

2. Where do I get the detailed procedure to find GCD of 216, 226, 40, 324?

You can find a detailed procedure to find GCD of 216, 226, 40, 324 on our page.

3. How to find GCD of 216, 226, 40, 324 on a calculator?

You can find the GCD of 216, 226, 40, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.