GCD of 256, 538, 18, 243 Calculator

Given Input numbers are 256, 538, 18, 243

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

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 18

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

1, 2, 3, 6, 9, 18

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 256, 538, 18, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 538, 18, 243 is 1.

Therefore, GCD of numbers 256, 538, 18, 243 is 1

Given Input Data is 256, 538, 18, 243

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

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 538 is 2 x 269

Prime Factorization of 18 is 2 x 3 x 3

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

The above numbers do not have any common prime factor. So GCD is 1

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(256, 538) = 68864

GCD(256, 538) = ( 256 x 538 ) / 68864

GCD(256, 538) = 137728 / 68864

GCD(256, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 243

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

LCM(2, 243) = 486

GCD(2, 243) = ( 2 x 243 ) / 486

GCD(2, 243) = 486 / 486

GCD(2, 243) = 1

GCD of 256, 538, 18, 243 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 811, 62, 476
• GCD of 142, 115, 22, 283
• GCD of 510, 802, 58, 866
• GCD of 486, 449, 68, 770
• GCD of 519, 388, 94, 342

1. What is the GCD of 256, 538, 18, 243?

GCD of 256, 538, 18, 243 is 1

2. Where do I get the detailed procedure to find GCD of 256, 538, 18, 243?

You can find a detailed procedure to find GCD of 256, 538, 18, 243 on our page.

3. How to find GCD of 256, 538, 18, 243 on a calculator?

You can find the GCD of 256, 538, 18, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.