GCD of 255, 519, 81, 243 Calculator

Given Input numbers are 255, 519, 81, 243

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

Divisors of 255

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

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

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 255, 519, 81, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 519, 81, 243 is 3.

Therefore, GCD of numbers 255, 519, 81, 243 is 3

Given Input Data is 255, 519, 81, 243

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 519 is 3 x 173

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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(255, 519) = 44115

GCD(255, 519) = ( 255 x 519 ) / 44115

GCD(255, 519) = 132345 / 44115

GCD(255, 519) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 81

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

LCM(3, 81) = 81

GCD(3, 81) = ( 3 x 81 ) / 81

GCD(3, 81) = 243 / 81

GCD(3, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 243

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

LCM(3, 243) = 243

GCD(3, 243) = ( 3 x 243 ) / 243

GCD(3, 243) = 729 / 243

GCD(3, 243) = 3

GCD of 255, 519, 81, 243 is 3

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• GCD of 529, 745, 78, 461
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• GCD of 326, 472, 15, 627

1. What is the GCD of 255, 519, 81, 243?

GCD of 255, 519, 81, 243 is 3

2. Where do I get the detailed procedure to find GCD of 255, 519, 81, 243?

You can find a detailed procedure to find GCD of 255, 519, 81, 243 on our page.

3. How to find GCD of 255, 519, 81, 243 on a calculator?

You can find the GCD of 255, 519, 81, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.