GCD of 12, 54, 46 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 12, 54, 46 i.e. 2 largest integer that divides all the numbers equally.

GCD of 12, 54, 46 is 2

GCD(12, 54, 46) = 2

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

GCD of

GCD of numbers 12, 54, 46 is 2

GCD(12, 54, 46) = 2

GCD of 12,54,46 Calculator

GCDof 12,54,46 is 2

Given Input numbers are 12, 54, 46

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

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Greatest Common Divisior

We found the divisors of 12, 54, 46 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 54, 46 is 2.

Therefore, GCD of numbers 12, 54, 46 is 2

Finding GCD of 12, 54, 46 using Prime Factorization

Given Input Data is 12, 54, 46

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 46 is 2 x 23

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 12, 54, 46 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(12, 54) = 108

GCD(12, 54) = ( 12 x 54 ) / 108

GCD(12, 54) = 648 / 108

GCD(12, 54) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 46

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

LCM(6, 46) = 138

GCD(6, 46) = ( 6 x 46 ) / 138

GCD(6, 46) = 276 / 138

GCD(6, 46) = 2

GCD of 12, 54, 46 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 12, 54, 46

1. What is the GCD of 12, 54, 46?

GCD of 12, 54, 46 is 2


2. Where do I get the detailed procedure to find GCD of 12, 54, 46?

You can find a detailed procedure to find GCD of 12, 54, 46 on our page.


3. How to find GCD of 12, 54, 46 on a calculator?

You can find the GCD of 12, 54, 46 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.