GCD of 827, 256, 11, 301 Calculator

Given Input numbers are 827, 256, 11, 301

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

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 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 827, 256, 11, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 256, 11, 301 is 1.

Therefore, GCD of numbers 827, 256, 11, 301 is 1

Given Input Data is 827, 256, 11, 301

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

Prime Factorization of 827 is 827

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

Prime Factorization of 11 is 11

Prime Factorization of 301 is 7 x 43

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(827, 256) = 211712

GCD(827, 256) = ( 827 x 256 ) / 211712

GCD(827, 256) = 211712 / 211712

GCD(827, 256) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 827, 256, 11, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 895, 20, 360
• GCD of 262, 439, 91, 248
• GCD of 258, 817, 35, 353
• GCD of 279, 887, 92, 664
• GCD of 211, 141, 72, 775

1. What is the GCD of 827, 256, 11, 301?

GCD of 827, 256, 11, 301 is 1

2. Where do I get the detailed procedure to find GCD of 827, 256, 11, 301?

You can find a detailed procedure to find GCD of 827, 256, 11, 301 on our page.

3. How to find GCD of 827, 256, 11, 301 on a calculator?

You can find the GCD of 827, 256, 11, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.