GCD of 794, 182, 528, 828 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, 182, 528, 828 i.e. 2 largest integer that divides all the numbers equally.

GCD of 794, 182, 528, 828 is 2

GCD(794, 182, 528, 828) = 2

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

GCD of

GCD of numbers 794, 182, 528, 828 is 2

GCD(794, 182, 528, 828) = 2

GCD of 794,182,528,828 Calculator

GCDof 794,182,528,828 is 2

Given Input numbers are 794, 182, 528, 828

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 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 794, 182, 528, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 182, 528, 828 is 2.

Therefore, GCD of numbers 794, 182, 528, 828 is 2

Finding GCD of 794, 182, 528, 828 using Prime Factorization

Given Input Data is 794, 182, 528, 828

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 794, 182, 528, 828 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, 182) = 72254

GCD(794, 182) = ( 794 x 182 ) / 72254

GCD(794, 182) = 144508 / 72254

GCD(794, 182) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 528

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

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

GCD(2, 528) = 1056 / 528

GCD(2, 528) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 828

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

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

GCD(2, 828) = 1656 / 828

GCD(2, 828) = 2

GCD of 794, 182, 528, 828 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 794, 182, 528, 828

1. What is the GCD of 794, 182, 528, 828?

GCD of 794, 182, 528, 828 is 2


2. Where do I get the detailed procedure to find GCD of 794, 182, 528, 828?

You can find a detailed procedure to find GCD of 794, 182, 528, 828 on our page.


3. How to find GCD of 794, 182, 528, 828 on a calculator?

You can find the GCD of 794, 182, 528, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.