**Created By :**
Jatin Gogia

**Reviewed By :**
Rajasekhar Valipishetty

**Last Updated :**
Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 16, 56, 12 i.e. 4 largest integer that divides all the numbers equally.

GCD of 16, 56, 12 is 4

GCD(16, 56, 12) = 4

**Ex:** 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of numbers 16, 56, 12 is 4

GCD(16, 56, 12) = 4

Given Input numbers are 16, 56, 12

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

**Divisors of 16**

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

**Divisors of 56**

List of positive integer divisors of 56 that divides 56 without a remainder.

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

**Divisors of 12**

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

**Greatest Common Divisior**

We found the divisors of 16, 56, 12 . The biggest common divisior number is the **GCD** number.

So the **Greatest Common Divisior 16, 56, 12 ** is **4**.

Therefore, GCD of numbers 16, 56, 12 is 4

Given Input Data is 16, 56, 12

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 12 is 2 x 2 x 3

Highest common occurrences in the given inputs are 2^{2}

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(16, 56) = 112

GCD(16, 56) = ( 16 x 56 ) / 112

GCD(16, 56) = 896 / 112

GCD(16, 56) = 8

**Step2:**

Here we consider the GCD from the above i.e. 8 as first number and the next as 12

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

LCM(8, 12) = 24

GCD(8, 12) = ( 8 x 12 ) / 24

GCD(8, 12) = 96 / 24

GCD(8, 12) = 4

GCD of 16, 56, 12 is 4

Here are some samples of GCD of Numbers calculations.

**1. What is the GCD of 16, 56, 12?**

GCD of 16, 56, 12 is 4

**2. Where do I get the detailed procedure to find GCD of 16, 56, 12?**

You can find a detailed procedure to find GCD of 16, 56, 12 on our page.

**3. How to find GCD of 16, 56, 12 on a calculator?**

You can find the GCD of 16, 56, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.