GCD of 796, 982, 821, 340 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 796, 982, 821, 340 i.e. 1 largest integer that divides all the numbers equally.

GCD of 796, 982, 821, 340 is 1

GCD(796, 982, 821, 340) = 1

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

GCD of

GCD of numbers 796, 982, 821, 340 is 1

GCD(796, 982, 821, 340) = 1

GCD of 796,982,821,340 Calculator

GCDof 796,982,821,340 is 1

Given Input numbers are 796, 982, 821, 340

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 796, 982, 821, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 982, 821, 340 is 1.

Therefore, GCD of numbers 796, 982, 821, 340 is 1

Finding GCD of 796, 982, 821, 340 using Prime Factorization

Given Input Data is 796, 982, 821, 340

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 982 is 2 x 491

Prime Factorization of 821 is 821

Prime Factorization of 340 is 2 x 2 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 796, 982, 821, 340 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(796, 982) = 390836

GCD(796, 982) = ( 796 x 982 ) / 390836

GCD(796, 982) = 781672 / 390836

GCD(796, 982) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 821

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

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

GCD(2, 821) = 1642 / 1642

GCD(2, 821) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 796, 982, 821, 340 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 796, 982, 821, 340

1. What is the GCD of 796, 982, 821, 340?

GCD of 796, 982, 821, 340 is 1


2. Where do I get the detailed procedure to find GCD of 796, 982, 821, 340?

You can find a detailed procedure to find GCD of 796, 982, 821, 340 on our page.


3. How to find GCD of 796, 982, 821, 340 on a calculator?

You can find the GCD of 796, 982, 821, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.