GCD of 28, 26, 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 28, 26, 78 i.e. 2 largest integer that divides all the numbers equally.

GCD of 28, 26, 78 is 2

GCD(28, 26, 78) = 2

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

GCD of

GCD of numbers 28, 26, 78 is 2

GCD(28, 26, 78) = 2

GCD of 28,26,78 Calculator

GCDof 28,26,78 is 2

Given Input numbers are 28, 26, 78

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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 28, 26, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 26, 78 is 2.

Therefore, GCD of numbers 28, 26, 78 is 2

Finding GCD of 28, 26, 78 using Prime Factorization

Given Input Data is 28, 26, 78

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 26 is 2 x 13

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 28, 26, 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(28, 26) = 364

GCD(28, 26) = ( 28 x 26 ) / 364

GCD(28, 26) = 728 / 364

GCD(28, 26) = 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 28, 26, 78 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 28, 26, 78

1. What is the GCD of 28, 26, 78?

GCD of 28, 26, 78 is 2

2. Where do I get the detailed procedure to find GCD of 28, 26, 78?

You can find a detailed procedure to find GCD of 28, 26, 78 on our page.

3. How to find GCD of 28, 26, 78 on a calculator?

You can find the GCD of 28, 26, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.