GCD of 24, 12, 16 Calculator

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 24, 12, 16 i.e. 4 largest integer that divides all the numbers equally.

GCD of 24, 12, 16 is 4

GCD(24, 12, 16) = 4

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

GCD of

GCD of numbers 24, 12, 16 is 4

GCD(24, 12, 16) = 4

GCD of 24,12,16 Calculator

GCDof 24,12,16 is 4

Given Input numbers are 24, 12, 16

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

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 16

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

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 24, 12, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 12, 16 is 4.

Therefore, GCD of numbers 24, 12, 16 is 4

Finding GCD of 24, 12, 16 using Prime Factorization

Given Input Data is 24, 12, 16

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 12 is 2 x 2 x 3

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

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 24, 12, 16 using LCM Formula

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(24, 12) = 24

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

GCD(24, 12) = 288 / 24

GCD(24, 12) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 16

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

LCM(12, 16) = 48

GCD(12, 16) = ( 12 x 16 ) / 48

GCD(12, 16) = 192 / 48

GCD(12, 16) = 4

GCD of 24, 12, 16 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 24, 12, 16

1. What is the GCD of 24, 12, 16?

GCD of 24, 12, 16 is 4

2. Where do I get the detailed procedure to find GCD of 24, 12, 16?

You can find a detailed procedure to find GCD of 24, 12, 16 on our page.

3. How to find GCD of 24, 12, 16 on a calculator?

You can find the GCD of 24, 12, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.