GCD of 58, 68, 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 58, 68, 78 i.e. 2 largest integer that divides all the numbers equally.

GCD of 58, 68, 78 is 2

GCD(58, 68, 78) = 2

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

GCD of

GCD of numbers 58, 68, 78 is 2

GCD(58, 68, 78) = 2

GCD of 58,68,78 Calculator

GCDof 58,68,78 is 2

Given Input numbers are 58, 68, 78

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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 58, 68, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 68, 78 is 2.

Therefore, GCD of numbers 58, 68, 78 is 2

Finding GCD of 58, 68, 78 using Prime Factorization

Given Input Data is 58, 68, 78

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 68 is 2 x 2 x 17

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 58, 68, 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(58, 68) = 1972

GCD(58, 68) = ( 58 x 68 ) / 1972

GCD(58, 68) = 3944 / 1972

GCD(58, 68) = 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 58, 68, 78 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 58, 68, 78

1. What is the GCD of 58, 68, 78?

GCD of 58, 68, 78 is 2

2. Where do I get the detailed procedure to find GCD of 58, 68, 78?

You can find a detailed procedure to find GCD of 58, 68, 78 on our page.

3. How to find GCD of 58, 68, 78 on a calculator?

You can find the GCD of 58, 68, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.