GCD of 810, 123, 682, 389 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 810, 123, 682, 389 i.e. 1 largest integer that divides all the numbers equally.

GCD of 810, 123, 682, 389 is 1

GCD(810, 123, 682, 389) = 1

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

GCD of

GCD of numbers 810, 123, 682, 389 is 1

GCD(810, 123, 682, 389) = 1

GCD of 810,123,682,389 Calculator

GCDof 810,123,682,389 is 1

Given Input numbers are 810, 123, 682, 389

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

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 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 810, 123, 682, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 123, 682, 389 is 1.

Therefore, GCD of numbers 810, 123, 682, 389 is 1

Finding GCD of 810, 123, 682, 389 using Prime Factorization

Given Input Data is 810, 123, 682, 389

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 123 is 3 x 41

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 389 is 389

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

Finding GCD of 810, 123, 682, 389 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(810, 123) = 33210

GCD(810, 123) = ( 810 x 123 ) / 33210

GCD(810, 123) = 99630 / 33210

GCD(810, 123) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 682

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

LCM(3, 682) = 2046

GCD(3, 682) = ( 3 x 682 ) / 2046

GCD(3, 682) = 2046 / 2046

GCD(3, 682) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 389

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

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

GCD(1, 389) = 389 / 389

GCD(1, 389) = 1

GCD of 810, 123, 682, 389 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 810, 123, 682, 389

1. What is the GCD of 810, 123, 682, 389?

GCD of 810, 123, 682, 389 is 1


2. Where do I get the detailed procedure to find GCD of 810, 123, 682, 389?

You can find a detailed procedure to find GCD of 810, 123, 682, 389 on our page.


3. How to find GCD of 810, 123, 682, 389 on a calculator?

You can find the GCD of 810, 123, 682, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.