GCD of 788, 708, 742 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 788, 708, 742 i.e. 2 largest integer that divides all the numbers equally.

GCD of 788, 708, 742 is 2

GCD(788, 708, 742) = 2

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

GCD of

GCD of numbers 788, 708, 742 is 2

GCD(788, 708, 742) = 2

GCD of 788,708,742 Calculator

GCDof 788,708,742 is 2

Given Input numbers are 788, 708, 742

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 788, 708, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 708, 742 is 2.

Therefore, GCD of numbers 788, 708, 742 is 2

Finding GCD of 788, 708, 742 using Prime Factorization

Given Input Data is 788, 708, 742

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 742 is 2 x 7 x 53

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 788, 708, 742 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(788, 708) = 139476

GCD(788, 708) = ( 788 x 708 ) / 139476

GCD(788, 708) = 557904 / 139476

GCD(788, 708) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 742

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

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

GCD(4, 742) = 2968 / 1484

GCD(4, 742) = 2

GCD of 788, 708, 742 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 788, 708, 742

1. What is the GCD of 788, 708, 742?

GCD of 788, 708, 742 is 2

2. Where do I get the detailed procedure to find GCD of 788, 708, 742?

You can find a detailed procedure to find GCD of 788, 708, 742 on our page.

3. How to find GCD of 788, 708, 742 on a calculator?

You can find the GCD of 788, 708, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.