GCD of 256, 800, 66, 768 Calculator

Given Input numbers are 256, 800, 66, 768

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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

Greatest Common Divisior

We found the divisors of 256, 800, 66, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 800, 66, 768 is 2.

Therefore, GCD of numbers 256, 800, 66, 768 is 2

Given Input Data is 256, 800, 66, 768

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 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 800) = 6400

GCD(256, 800) = ( 256 x 800 ) / 6400

GCD(256, 800) = 204800 / 6400

GCD(256, 800) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 66

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

LCM(32, 66) = 1056

GCD(32, 66) = ( 32 x 66 ) / 1056

GCD(32, 66) = 2112 / 1056

GCD(32, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 768

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

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

GCD(2, 768) = 1536 / 768

GCD(2, 768) = 2

GCD of 256, 800, 66, 768 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 319, 59, 299
• GCD of 356, 656, 73, 980
• GCD of 489, 851, 63, 212
• GCD of 748, 699, 14, 728
• GCD of 287, 378, 23, 890

1. What is the GCD of 256, 800, 66, 768?

GCD of 256, 800, 66, 768 is 2

2. Where do I get the detailed procedure to find GCD of 256, 800, 66, 768?

You can find a detailed procedure to find GCD of 256, 800, 66, 768 on our page.

3. How to find GCD of 256, 800, 66, 768 on a calculator?

You can find the GCD of 256, 800, 66, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.