GCD of 825, 282, 256, 799 Calculator

Given Input numbers are 825, 282, 256, 799

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

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 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Greatest Common Divisior

We found the divisors of 825, 282, 256, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 282, 256, 799 is 1.

Therefore, GCD of numbers 825, 282, 256, 799 is 1

Given Input Data is 825, 282, 256, 799

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 282 is 2 x 3 x 47

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

Prime Factorization of 799 is 17 x 47

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(825, 282) = 77550

GCD(825, 282) = ( 825 x 282 ) / 77550

GCD(825, 282) = 232650 / 77550

GCD(825, 282) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 256

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

LCM(3, 256) = 768

GCD(3, 256) = ( 3 x 256 ) / 768

GCD(3, 256) = 768 / 768

GCD(3, 256) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 799

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

LCM(1, 799) = 799

GCD(1, 799) = ( 1 x 799 ) / 799

GCD(1, 799) = 799 / 799

GCD(1, 799) = 1

GCD of 825, 282, 256, 799 is 1

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1. What is the GCD of 825, 282, 256, 799?

GCD of 825, 282, 256, 799 is 1

2. Where do I get the detailed procedure to find GCD of 825, 282, 256, 799?

You can find a detailed procedure to find GCD of 825, 282, 256, 799 on our page.

3. How to find GCD of 825, 282, 256, 799 on a calculator?

You can find the GCD of 825, 282, 256, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.