GCD of 116, 268, 256 Calculator

Given Input numbers are 116, 268, 256

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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

Greatest Common Divisior

We found the divisors of 116, 268, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 268, 256 is 4.

Therefore, GCD of numbers 116, 268, 256 is 4

Given Input Data is 116, 268, 256

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 268 is 2 x 2 x 67

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

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(116, 268) = 7772

GCD(116, 268) = ( 116 x 268 ) / 7772

GCD(116, 268) = 31088 / 7772

GCD(116, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 256

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

LCM(4, 256) = 256

GCD(4, 256) = ( 4 x 256 ) / 256

GCD(4, 256) = 1024 / 256

GCD(4, 256) = 4

GCD of 116, 268, 256 is 4

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1. What is the GCD of 116, 268, 256?

GCD of 116, 268, 256 is 4

2. Where do I get the detailed procedure to find GCD of 116, 268, 256?

You can find a detailed procedure to find GCD of 116, 268, 256 on our page.

3. How to find GCD of 116, 268, 256 on a calculator?

You can find the GCD of 116, 268, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.