GCD of 682, 492, 309 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 682, 492, 309 i.e. 1 largest integer that divides all the numbers equally.

GCD of 682, 492, 309 is 1

GCD(682, 492, 309) = 1

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

GCD of

GCD of numbers 682, 492, 309 is 1

GCD(682, 492, 309) = 1

GCD of 682,492,309 Calculator

GCDof 682,492,309 is 1

Given Input numbers are 682, 492, 309

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 682, 492, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 492, 309 is 1.

Therefore, GCD of numbers 682, 492, 309 is 1

Finding GCD of 682, 492, 309 using Prime Factorization

Given Input Data is 682, 492, 309

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 309 is 3 x 103

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

Finding GCD of 682, 492, 309 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(682, 492) = 167772

GCD(682, 492) = ( 682 x 492 ) / 167772

GCD(682, 492) = 335544 / 167772

GCD(682, 492) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

GCD of 682, 492, 309 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 682, 492, 309

1. What is the GCD of 682, 492, 309?

GCD of 682, 492, 309 is 1

2. Where do I get the detailed procedure to find GCD of 682, 492, 309?

You can find a detailed procedure to find GCD of 682, 492, 309 on our page.

3. How to find GCD of 682, 492, 309 on a calculator?

You can find the GCD of 682, 492, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.