GCD of 442, 234, 39 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 442, 234, 39 i.e. 13 largest integer that divides all the numbers equally.

GCD of 442, 234, 39 is 13

GCD(442, 234, 39) = 13

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

GCD of

GCD of numbers 442, 234, 39 is 13

GCD(442, 234, 39) = 13

GCD of 442,234,39 Calculator

GCDof 442,234,39 is 13

Given Input numbers are 442, 234, 39

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Greatest Common Divisior

We found the divisors of 442, 234, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 234, 39 is 13.

Therefore, GCD of numbers 442, 234, 39 is 13

Finding GCD of 442, 234, 39 using Prime Factorization

Given Input Data is 442, 234, 39

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 39 is 3 x 13

Highest common occurrences in the given inputs are 131

Multiplying them we get the GCD as 13

Finding GCD of 442, 234, 39 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(442, 234) = 3978

GCD(442, 234) = ( 442 x 234 ) / 3978

GCD(442, 234) = 103428 / 3978

GCD(442, 234) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 39

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

LCM(26, 39) = 78

GCD(26, 39) = ( 26 x 39 ) / 78

GCD(26, 39) = 1014 / 78

GCD(26, 39) = 13

GCD of 442, 234, 39 is 13

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 442, 234, 39

1. What is the GCD of 442, 234, 39?

GCD of 442, 234, 39 is 13

2. Where do I get the detailed procedure to find GCD of 442, 234, 39?

You can find a detailed procedure to find GCD of 442, 234, 39 on our page.

3. How to find GCD of 442, 234, 39 on a calculator?

You can find the GCD of 442, 234, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.