GCD of 821, 389, 14, 865 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 821, 389, 14, 865 i.e. 1 largest integer that divides all the numbers equally.

GCD of 821, 389, 14, 865 is 1

GCD(821, 389, 14, 865) = 1

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

GCD of

GCD of numbers 821, 389, 14, 865 is 1

GCD(821, 389, 14, 865) = 1

GCD of 821,389,14,865 Calculator

GCDof 821,389,14,865 is 1

Given Input numbers are 821, 389, 14, 865

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

Divisors of 821

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

1, 821

Divisors of 389

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

1, 389

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Greatest Common Divisior

We found the divisors of 821, 389, 14, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 389, 14, 865 is 1.

Therefore, GCD of numbers 821, 389, 14, 865 is 1

Finding GCD of 821, 389, 14, 865 using Prime Factorization

Given Input Data is 821, 389, 14, 865

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

Prime Factorization of 821 is 821

Prime Factorization of 389 is 389

Prime Factorization of 14 is 2 x 7

Prime Factorization of 865 is 5 x 173

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

Finding GCD of 821, 389, 14, 865 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(821, 389) = 319369

GCD(821, 389) = ( 821 x 389 ) / 319369

GCD(821, 389) = 319369 / 319369

GCD(821, 389) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 865

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

LCM(1, 865) = 865

GCD(1, 865) = ( 1 x 865 ) / 865

GCD(1, 865) = 865 / 865

GCD(1, 865) = 1

GCD of 821, 389, 14, 865 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 821, 389, 14, 865

1. What is the GCD of 821, 389, 14, 865?

GCD of 821, 389, 14, 865 is 1


2. Where do I get the detailed procedure to find GCD of 821, 389, 14, 865?

You can find a detailed procedure to find GCD of 821, 389, 14, 865 on our page.


3. How to find GCD of 821, 389, 14, 865 on a calculator?

You can find the GCD of 821, 389, 14, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.