GCD of 582, 690, 798 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 582, 690, 798 i.e. 6 largest integer that divides all the numbers equally.

GCD of 582, 690, 798 is 6

GCD(582, 690, 798) = 6

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

GCD of

GCD of numbers 582, 690, 798 is 6

GCD(582, 690, 798) = 6

GCD of 582,690,798 Calculator

GCDof 582,690,798 is 6

Given Input numbers are 582, 690, 798

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 582, 690, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 690, 798 is 6.

Therefore, GCD of numbers 582, 690, 798 is 6

Finding GCD of 582, 690, 798 using Prime Factorization

Given Input Data is 582, 690, 798

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 798 is 2 x 3 x 7 x 19

Highest common occurrences in the given inputs are 21 x 31

Multiplying them we get the GCD as 6

Finding GCD of 582, 690, 798 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(582, 690) = 66930

GCD(582, 690) = ( 582 x 690 ) / 66930

GCD(582, 690) = 401580 / 66930

GCD(582, 690) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 798

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

LCM(6, 798) = 798

GCD(6, 798) = ( 6 x 798 ) / 798

GCD(6, 798) = 4788 / 798

GCD(6, 798) = 6

GCD of 582, 690, 798 is 6

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 582, 690, 798

1. What is the GCD of 582, 690, 798?

GCD of 582, 690, 798 is 6


2. Where do I get the detailed procedure to find GCD of 582, 690, 798?

You can find a detailed procedure to find GCD of 582, 690, 798 on our page.


3. How to find GCD of 582, 690, 798 on a calculator?

You can find the GCD of 582, 690, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.