GCD of 276, 256, 844 Calculator

Given Input numbers are 276, 256, 844

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 276, 256, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 256, 844 is 4.

Therefore, GCD of numbers 276, 256, 844 is 4

Given Input Data is 276, 256, 844

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

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

Prime Factorization of 844 is 2 x 2 x 211

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(276, 256) = 17664

GCD(276, 256) = ( 276 x 256 ) / 17664

GCD(276, 256) = 70656 / 17664

GCD(276, 256) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 844

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

LCM(4, 844) = 844

GCD(4, 844) = ( 4 x 844 ) / 844

GCD(4, 844) = 3376 / 844

GCD(4, 844) = 4

GCD of 276, 256, 844 is 4

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1. What is the GCD of 276, 256, 844?

GCD of 276, 256, 844 is 4

2. Where do I get the detailed procedure to find GCD of 276, 256, 844?

You can find a detailed procedure to find GCD of 276, 256, 844 on our page.

3. How to find GCD of 276, 256, 844 on a calculator?

You can find the GCD of 276, 256, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.