GCD of 78, 39, 91 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 78, 39, 91 i.e. 13 largest integer that divides all the numbers equally.

GCD of 78, 39, 91 is 13

GCD(78, 39, 91) = 13

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

GCD of

GCD of numbers 78, 39, 91 is 13

GCD(78, 39, 91) = 13

GCD of 78,39,91 Calculator

GCDof 78,39,91 is 13

Given Input numbers are 78, 39, 91

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

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 39

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

1, 3, 13, 39

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Greatest Common Divisior

We found the divisors of 78, 39, 91 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 39, 91 is 13.

Therefore, GCD of numbers 78, 39, 91 is 13

Finding GCD of 78, 39, 91 using Prime Factorization

Given Input Data is 78, 39, 91

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 39 is 3 x 13

Prime Factorization of 91 is 7 x 13

Highest common occurrences in the given inputs are 131

Multiplying them we get the GCD as 13

Finding GCD of 78, 39, 91 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(78, 39) = 78

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

GCD(78, 39) = 3042 / 78

GCD(78, 39) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 91

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

LCM(39, 91) = 273

GCD(39, 91) = ( 39 x 91 ) / 273

GCD(39, 91) = 3549 / 273

GCD(39, 91) = 13

GCD of 78, 39, 91 is 13

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 78, 39, 91

1. What is the GCD of 78, 39, 91?

GCD of 78, 39, 91 is 13

2. Where do I get the detailed procedure to find GCD of 78, 39, 91?

You can find a detailed procedure to find GCD of 78, 39, 91 on our page.

3. How to find GCD of 78, 39, 91 on a calculator?

You can find the GCD of 78, 39, 91 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.