GCD of 12, 68, 32, 26 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, 68, 32, 26 i.e. 2 largest integer that divides all the numbers equally.

GCD of 12, 68, 32, 26 is 2

GCD(12, 68, 32, 26) = 2

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

GCD of

GCD of numbers 12, 68, 32, 26 is 2

GCD(12, 68, 32, 26) = 2

GCD of 12,68,32,26 Calculator

GCDof 12,68,32,26 is 2

Given Input numbers are 12, 68, 32, 26

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 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Greatest Common Divisior

We found the divisors of 12, 68, 32, 26 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 68, 32, 26 is 2.

Therefore, GCD of numbers 12, 68, 32, 26 is 2

Finding GCD of 12, 68, 32, 26 using Prime Factorization

Given Input Data is 12, 68, 32, 26

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 68 is 2 x 2 x 17

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 26 is 2 x 13

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 12, 68, 32, 26 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, 68) = 204

GCD(12, 68) = ( 12 x 68 ) / 204

GCD(12, 68) = 816 / 204

GCD(12, 68) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 32

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

LCM(4, 32) = 32

GCD(4, 32) = ( 4 x 32 ) / 32

GCD(4, 32) = 128 / 32

GCD(4, 32) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 26

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

LCM(4, 26) = 52

GCD(4, 26) = ( 4 x 26 ) / 52

GCD(4, 26) = 104 / 52

GCD(4, 26) = 2

GCD of 12, 68, 32, 26 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 12, 68, 32, 26

1. What is the GCD of 12, 68, 32, 26?

GCD of 12, 68, 32, 26 is 2


2. Where do I get the detailed procedure to find GCD of 12, 68, 32, 26?

You can find a detailed procedure to find GCD of 12, 68, 32, 26 on our page.


3. How to find GCD of 12, 68, 32, 26 on a calculator?

You can find the GCD of 12, 68, 32, 26 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.