Where do I get the detailed procedure to find GCD of 796, 208, 742?

You can find a detailed procedure to find GCD of 796, 208, 742 on our page.

How to find GCD of 796, 208, 742 on a calculator?

You can find the GCD of 796, 208, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 796, 208, 742 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 796, 208, 742 quickly. Get the easiest ways to solve the greatest common divisor of 796, 208, 742 i.e 2 in different methods as follows.

How to Find GCD of Numbers 796, 208, 742 with Factoring?

Given Input numbers are 796, 208, 742

In the factoring method, we have to find the divisors of all numbers

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (796, 208, 742) = 2.

Find GCD of 796, 208, 742 using Prime Factorization

Given numbers are 796, 208, 742

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 796, 208, 742 is 2.

Steps to Calculate GCD of 796, 208, 742 using LCM Formula

Given numbers are 796, 208, 742

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(796, 208) = 41392

GCD(796, 208) = ( 796 x 208 ) / 41392

= 796 / 208

= 796

Step2:

LCM(4, 742) = 1484

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

= 4 / 742

= 4

So, Greatest Common Divisor of 796, 208, 742 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 796, 208, 742

Given numbers are 796, 208, 742
The greatest common divisor of numbers 796, 208, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 208, 742 is 2.

FAQs on GCD of 796, 208, 742 Calculator

1. What is the GCD of 796, 208, 742?

GCD of given numbers 796, 208, 742 is 2

2. How to calculate the greatest common divisor of 796, 208, 742?

We can find the highest common divisor of 796, 208, 742 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 796, 208, 742 i.e 2.

3. How can I use the GCD of 796, 208, 742Calculator?

Out the numbers 796, 208, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.