GCD of 39, 78, 45 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 39, 78, 45 i.e. 3 largest integer that divides all the numbers equally.

GCD of 39, 78, 45 is 3

GCD(39, 78, 45) = 3

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

GCD of

GCD of numbers 39, 78, 45 is 3

GCD(39, 78, 45) = 3

GCD of 39,78,45 Calculator

GCDof 39,78,45 is 3

Given Input numbers are 39, 78, 45

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

Divisors of 39

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

1, 3, 13, 39

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 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Greatest Common Divisior

We found the divisors of 39, 78, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 78, 45 is 3.

Therefore, GCD of numbers 39, 78, 45 is 3

Finding GCD of 39, 78, 45 using Prime Factorization

Given Input Data is 39, 78, 45

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 45 is 3 x 3 x 5

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 39, 78, 45 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(39, 78) = 78

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

GCD(39, 78) = 3042 / 78

GCD(39, 78) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 45

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

LCM(39, 45) = 585

GCD(39, 45) = ( 39 x 45 ) / 585

GCD(39, 45) = 1755 / 585

GCD(39, 45) = 3

GCD of 39, 78, 45 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 39, 78, 45

1. What is the GCD of 39, 78, 45?

GCD of 39, 78, 45 is 3

2. Where do I get the detailed procedure to find GCD of 39, 78, 45?

You can find a detailed procedure to find GCD of 39, 78, 45 on our page.

3. How to find GCD of 39, 78, 45 on a calculator?

You can find the GCD of 39, 78, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.