GCD of 84, 12, 36 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 84, 12, 36 i.e. 12 largest integer that divides all the numbers equally.

GCD of 84, 12, 36 is 12

GCD(84, 12, 36) = 12

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

GCD of

GCD of numbers 84, 12, 36 is 12

GCD(84, 12, 36) = 12

GCD of 84,12,36 Calculator

GCDof 84,12,36 is 12

Given Input numbers are 84, 12, 36

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest Common Divisior

We found the divisors of 84, 12, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 12, 36 is 12.

Therefore, GCD of numbers 84, 12, 36 is 12

Finding GCD of 84, 12, 36 using Prime Factorization

Given Input Data is 84, 12, 36

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 36 is 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 22 x 31

Multiplying them we get the GCD as 12

Finding GCD of 84, 12, 36 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(84, 12) = 84

GCD(84, 12) = ( 84 x 12 ) / 84

GCD(84, 12) = 1008 / 84

GCD(84, 12) = 12


Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 36

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

LCM(12, 36) = 36

GCD(12, 36) = ( 12 x 36 ) / 36

GCD(12, 36) = 432 / 36

GCD(12, 36) = 12

GCD of 84, 12, 36 is 12

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 84, 12, 36

1. What is the GCD of 84, 12, 36?

GCD of 84, 12, 36 is 12


2. Where do I get the detailed procedure to find GCD of 84, 12, 36?

You can find a detailed procedure to find GCD of 84, 12, 36 on our page.


3. How to find GCD of 84, 12, 36 on a calculator?

You can find the GCD of 84, 12, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.