GCD of 116, 256, 528, 116 Calculator

Given Input numbers are 116, 256, 528, 116

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 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 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 116

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

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 116, 256, 528, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 256, 528, 116 is 4.

Therefore, GCD of numbers 116, 256, 528, 116 is 4

Given Input Data is 116, 256, 528, 116

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 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 116 is 2 x 2 x 29

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, 256) = 7424

GCD(116, 256) = ( 116 x 256 ) / 7424

GCD(116, 256) = 29696 / 7424

GCD(116, 256) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 528

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

LCM(4, 528) = 528

GCD(4, 528) = ( 4 x 528 ) / 528

GCD(4, 528) = 2112 / 528

GCD(4, 528) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 116

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

LCM(4, 116) = 116

GCD(4, 116) = ( 4 x 116 ) / 116

GCD(4, 116) = 464 / 116

GCD(4, 116) = 4

GCD of 116, 256, 528, 116 is 4

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1. What is the GCD of 116, 256, 528, 116?

GCD of 116, 256, 528, 116 is 4

2. Where do I get the detailed procedure to find GCD of 116, 256, 528, 116?

You can find a detailed procedure to find GCD of 116, 256, 528, 116 on our page.

3. How to find GCD of 116, 256, 528, 116 on a calculator?

You can find the GCD of 116, 256, 528, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.