GCD of 802, 686, 687 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 802, 686, 687 i.e. 1 largest integer that divides all the numbers equally.

GCD of 802, 686, 687 is 1

GCD(802, 686, 687) = 1

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

GCD of

GCD of numbers 802, 686, 687 is 1

GCD(802, 686, 687) = 1

GCD of 802,686,687 Calculator

GCDof 802,686,687 is 1

Given Input numbers are 802, 686, 687

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 802, 686, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 686, 687 is 1.

Therefore, GCD of numbers 802, 686, 687 is 1

Finding GCD of 802, 686, 687 using Prime Factorization

Given Input Data is 802, 686, 687

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 687 is 3 x 229

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

Finding GCD of 802, 686, 687 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(802, 686) = 275086

GCD(802, 686) = ( 802 x 686 ) / 275086

GCD(802, 686) = 550172 / 275086

GCD(802, 686) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 687

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

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

GCD(2, 687) = 1374 / 1374

GCD(2, 687) = 1

GCD of 802, 686, 687 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 802, 686, 687

1. What is the GCD of 802, 686, 687?

GCD of 802, 686, 687 is 1


2. Where do I get the detailed procedure to find GCD of 802, 686, 687?

You can find a detailed procedure to find GCD of 802, 686, 687 on our page.


3. How to find GCD of 802, 686, 687 on a calculator?

You can find the GCD of 802, 686, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.