GCD of 615, 459, 18, 255 Calculator

Given Input numbers are 615, 459, 18, 255

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

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

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 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 615, 459, 18, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 615, 459, 18, 255 is 3.

Therefore, GCD of numbers 615, 459, 18, 255 is 3

Given Input Data is 615, 459, 18, 255

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

Prime Factorization of 615 is 3 x 5 x 41

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 255 is 3 x 5 x 17

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(615, 459) = 94095

GCD(615, 459) = ( 615 x 459 ) / 94095

GCD(615, 459) = 282285 / 94095

GCD(615, 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 255

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

LCM(3, 255) = 255

GCD(3, 255) = ( 3 x 255 ) / 255

GCD(3, 255) = 765 / 255

GCD(3, 255) = 3

GCD of 615, 459, 18, 255 is 3

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1. What is the GCD of 615, 459, 18, 255?

GCD of 615, 459, 18, 255 is 3

2. Where do I get the detailed procedure to find GCD of 615, 459, 18, 255?

You can find a detailed procedure to find GCD of 615, 459, 18, 255 on our page.

3. How to find GCD of 615, 459, 18, 255 on a calculator?

You can find the GCD of 615, 459, 18, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.