GCD of 256, 768, 716, 393 Calculator

Given Input numbers are 256, 768, 716, 393

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 256, 768, 716, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 768, 716, 393 is 1.

Therefore, GCD of numbers 256, 768, 716, 393 is 1

Given Input Data is 256, 768, 716, 393

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 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 393 is 3 x 131

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, 768) = 768

GCD(256, 768) = ( 256 x 768 ) / 768

GCD(256, 768) = 196608 / 768

GCD(256, 768) = 256

Step2:

Here we consider the GCD from the above i.e. 256 as first number and the next as 716

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

LCM(256, 716) = 45824

GCD(256, 716) = ( 256 x 716 ) / 45824

GCD(256, 716) = 183296 / 45824

GCD(256, 716) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 393

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

LCM(4, 393) = 1572

GCD(4, 393) = ( 4 x 393 ) / 1572

GCD(4, 393) = 1572 / 1572

GCD(4, 393) = 1

GCD of 256, 768, 716, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 996, 169, 998
• GCD of 375, 954, 140, 966
• GCD of 541, 863, 348, 463
• GCD of 870, 713, 902, 438
• GCD of 916, 799, 772, 864

1. What is the GCD of 256, 768, 716, 393?

GCD of 256, 768, 716, 393 is 1

2. Where do I get the detailed procedure to find GCD of 256, 768, 716, 393?

You can find a detailed procedure to find GCD of 256, 768, 716, 393 on our page.

3. How to find GCD of 256, 768, 716, 393 on a calculator?

You can find the GCD of 256, 768, 716, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.