GCD of 363, 459, 18, 282 Calculator

Given Input numbers are 363, 459, 18, 282

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 363, 459, 18, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 459, 18, 282 is 3.

Therefore, GCD of numbers 363, 459, 18, 282 is 3

Given Input Data is 363, 459, 18, 282

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 282 is 2 x 3 x 47

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(363, 459) = 55539

GCD(363, 459) = ( 363 x 459 ) / 55539

GCD(363, 459) = 166617 / 55539

GCD(363, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 282

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

LCM(3, 282) = 282

GCD(3, 282) = ( 3 x 282 ) / 282

GCD(3, 282) = 846 / 282

GCD(3, 282) = 3

GCD of 363, 459, 18, 282 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 214, 83, 848
• GCD of 451, 116, 19, 116
• GCD of 372, 262, 90, 163
• GCD of 355, 683, 90, 695
• GCD of 737, 426, 97, 942

1. What is the GCD of 363, 459, 18, 282?

GCD of 363, 459, 18, 282 is 3

2. Where do I get the detailed procedure to find GCD of 363, 459, 18, 282?

You can find a detailed procedure to find GCD of 363, 459, 18, 282 on our page.

3. How to find GCD of 363, 459, 18, 282 on a calculator?

You can find the GCD of 363, 459, 18, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.