GCD of 34, 78, 30 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 34, 78, 30 i.e. 2 largest integer that divides all the numbers equally.

GCD of 34, 78, 30 is 2

GCD(34, 78, 30) = 2

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

GCD of

GCD of numbers 34, 78, 30 is 2

GCD(34, 78, 30) = 2

GCD of 34,78,30 Calculator

GCDof 34,78,30 is 2

Given Input numbers are 34, 78, 30

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Greatest Common Divisior

We found the divisors of 34, 78, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 78, 30 is 2.

Therefore, GCD of numbers 34, 78, 30 is 2

Finding GCD of 34, 78, 30 using Prime Factorization

Given Input Data is 34, 78, 30

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 30 is 2 x 3 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 34, 78, 30 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(34, 78) = 1326

GCD(34, 78) = ( 34 x 78 ) / 1326

GCD(34, 78) = 2652 / 1326

GCD(34, 78) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

GCD of 34, 78, 30 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 34, 78, 30

1. What is the GCD of 34, 78, 30?

GCD of 34, 78, 30 is 2

2. Where do I get the detailed procedure to find GCD of 34, 78, 30?

You can find a detailed procedure to find GCD of 34, 78, 30 on our page.

3. How to find GCD of 34, 78, 30 on a calculator?

You can find the GCD of 34, 78, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.