GCD of 794, 920, 82, 612 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 794, 920, 82, 612 i.e. 2 largest integer that divides all the numbers equally.

GCD of 794, 920, 82, 612 is 2

GCD(794, 920, 82, 612) = 2

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

GCD of

GCD of numbers 794, 920, 82, 612 is 2

GCD(794, 920, 82, 612) = 2

GCD of 794,920,82,612 Calculator

GCDof 794,920,82,612 is 2

Given Input numbers are 794, 920, 82, 612

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 794, 920, 82, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 920, 82, 612 is 2.

Therefore, GCD of numbers 794, 920, 82, 612 is 2

Finding GCD of 794, 920, 82, 612 using Prime Factorization

Given Input Data is 794, 920, 82, 612

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 82 is 2 x 41

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 794, 920, 82, 612 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(794, 920) = 365240

GCD(794, 920) = ( 794 x 920 ) / 365240

GCD(794, 920) = 730480 / 365240

GCD(794, 920) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 612

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

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

GCD(2, 612) = 1224 / 612

GCD(2, 612) = 2

GCD of 794, 920, 82, 612 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 794, 920, 82, 612

1. What is the GCD of 794, 920, 82, 612?

GCD of 794, 920, 82, 612 is 2


2. Where do I get the detailed procedure to find GCD of 794, 920, 82, 612?

You can find a detailed procedure to find GCD of 794, 920, 82, 612 on our page.


3. How to find GCD of 794, 920, 82, 612 on a calculator?

You can find the GCD of 794, 920, 82, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.