GCD of 231, 686, 10, 847 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 231, 686, 10, 847 i.e. 1 largest integer that divides all the numbers equally.

GCD of 231, 686, 10, 847 is 1

GCD(231, 686, 10, 847) = 1

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

GCD of

GCD of numbers 231, 686, 10, 847 is 1

GCD(231, 686, 10, 847) = 1

GCD of 231,686,10,847 Calculator

GCDof 231,686,10,847 is 1

Given Input numbers are 231, 686, 10, 847

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Greatest Common Divisior

We found the divisors of 231, 686, 10, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 686, 10, 847 is 1.

Therefore, GCD of numbers 231, 686, 10, 847 is 1

Finding GCD of 231, 686, 10, 847 using Prime Factorization

Given Input Data is 231, 686, 10, 847

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

Prime Factorization of 231 is 3 x 7 x 11

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 847 is 7 x 11 x 11

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

Finding GCD of 231, 686, 10, 847 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(231, 686) = 22638

GCD(231, 686) = ( 231 x 686 ) / 22638

GCD(231, 686) = 158466 / 22638

GCD(231, 686) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 10

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

LCM(7, 10) = 70

GCD(7, 10) = ( 7 x 10 ) / 70

GCD(7, 10) = 70 / 70

GCD(7, 10) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 847

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

LCM(1, 847) = 847

GCD(1, 847) = ( 1 x 847 ) / 847

GCD(1, 847) = 847 / 847

GCD(1, 847) = 1

GCD of 231, 686, 10, 847 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 231, 686, 10, 847

1. What is the GCD of 231, 686, 10, 847?

GCD of 231, 686, 10, 847 is 1


2. Where do I get the detailed procedure to find GCD of 231, 686, 10, 847?

You can find a detailed procedure to find GCD of 231, 686, 10, 847 on our page.


3. How to find GCD of 231, 686, 10, 847 on a calculator?

You can find the GCD of 231, 686, 10, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.