GCD of 36, 38, 78 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 36, 38, 78 i.e. 2 largest integer that divides all the numbers equally.

GCD of 36, 38, 78 is 2

GCD(36, 38, 78) = 2

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

GCD of

GCD of numbers 36, 38, 78 is 2

GCD(36, 38, 78) = 2

GCD of 36,38,78 Calculator

GCDof 36,38,78 is 2

Given Input numbers are 36, 38, 78

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 78

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

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

Greatest Common Divisior

We found the divisors of 36, 38, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 38, 78 is 2.

Therefore, GCD of numbers 36, 38, 78 is 2

Finding GCD of 36, 38, 78 using Prime Factorization

Given Input Data is 36, 38, 78

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 38 is 2 x 19

Prime Factorization of 78 is 2 x 3 x 13

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 36, 38, 78 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(36, 38) = 684

GCD(36, 38) = ( 36 x 38 ) / 684

GCD(36, 38) = 1368 / 684

GCD(36, 38) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

GCD of 36, 38, 78 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 36, 38, 78

1. What is the GCD of 36, 38, 78?

GCD of 36, 38, 78 is 2

2. Where do I get the detailed procedure to find GCD of 36, 38, 78?

You can find a detailed procedure to find GCD of 36, 38, 78 on our page.

3. How to find GCD of 36, 38, 78 on a calculator?

You can find the GCD of 36, 38, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.