GCD of 256, 820, 11, 104 Calculator

Given Input numbers are 256, 820, 11, 104

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 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 11

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

1, 11

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 256, 820, 11, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 820, 11, 104 is 1.

Therefore, GCD of numbers 256, 820, 11, 104 is 1

Given Input Data is 256, 820, 11, 104

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 820 is 2 x 2 x 5 x 41

Prime Factorization of 11 is 11

Prime Factorization of 104 is 2 x 2 x 2 x 13

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, 820) = 52480

GCD(256, 820) = ( 256 x 820 ) / 52480

GCD(256, 820) = 209920 / 52480

GCD(256, 820) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 11

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

LCM(4, 11) = 44

GCD(4, 11) = ( 4 x 11 ) / 44

GCD(4, 11) = 44 / 44

GCD(4, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 256, 820, 11, 104 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 537, 90, 913
• GCD of 820, 610, 99, 346
• GCD of 496, 494, 45, 929
• GCD of 329, 678, 44, 986
• GCD of 430, 684, 98, 595

1. What is the GCD of 256, 820, 11, 104?

GCD of 256, 820, 11, 104 is 1

2. Where do I get the detailed procedure to find GCD of 256, 820, 11, 104?

You can find a detailed procedure to find GCD of 256, 820, 11, 104 on our page.

3. How to find GCD of 256, 820, 11, 104 on a calculator?

You can find the GCD of 256, 820, 11, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.