GCD of 795, 108, 256, 854 Calculator

Given Input numbers are 795, 108, 256, 854

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

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 795, 108, 256, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 108, 256, 854 is 1.

Therefore, GCD of numbers 795, 108, 256, 854 is 1

Given Input Data is 795, 108, 256, 854

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 854 is 2 x 7 x 61

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(795, 108) = 28620

GCD(795, 108) = ( 795 x 108 ) / 28620

GCD(795, 108) = 85860 / 28620

GCD(795, 108) = 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 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 795, 108, 256, 854 is 1

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1. What is the GCD of 795, 108, 256, 854?

GCD of 795, 108, 256, 854 is 1

2. Where do I get the detailed procedure to find GCD of 795, 108, 256, 854?

You can find a detailed procedure to find GCD of 795, 108, 256, 854 on our page.

3. How to find GCD of 795, 108, 256, 854 on a calculator?

You can find the GCD of 795, 108, 256, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.