GCD of 112, 526, 284, 318 Calculator

Given Input numbers are 112, 526, 284, 318

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 112, 526, 284, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 526, 284, 318 is 2.

Therefore, GCD of numbers 112, 526, 284, 318 is 2

Given Input Data is 112, 526, 284, 318

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 526 is 2 x 263

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 318 is 2 x 3 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(112, 526) = 29456

GCD(112, 526) = ( 112 x 526 ) / 29456

GCD(112, 526) = 58912 / 29456

GCD(112, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 318

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

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

GCD(2, 318) = 636 / 318

GCD(2, 318) = 2

GCD of 112, 526, 284, 318 is 2

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1. What is the GCD of 112, 526, 284, 318?

GCD of 112, 526, 284, 318 is 2

2. Where do I get the detailed procedure to find GCD of 112, 526, 284, 318?

You can find a detailed procedure to find GCD of 112, 526, 284, 318 on our page.

3. How to find GCD of 112, 526, 284, 318 on a calculator?

You can find the GCD of 112, 526, 284, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.