GCD of 216, 418, 144 Calculator

Given Input numbers are 216, 418, 144

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 216, 418, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 418, 144 is 2.

Therefore, GCD of numbers 216, 418, 144 is 2

Given Input Data is 216, 418, 144

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 418 is 2 x 11 x 19

Prime Factorization of 144 is 2 x 2 x 2 x 2 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, 418) = 45144

GCD(216, 418) = ( 216 x 418 ) / 45144

GCD(216, 418) = 90288 / 45144

GCD(216, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

GCD of 216, 418, 144 is 2

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1. What is the GCD of 216, 418, 144?

GCD of 216, 418, 144 is 2

2. Where do I get the detailed procedure to find GCD of 216, 418, 144?

You can find a detailed procedure to find GCD of 216, 418, 144 on our page.

3. How to find GCD of 216, 418, 144 on a calculator?

You can find the GCD of 216, 418, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.