GCD of 864, 271, 484, 686 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 864, 271, 484, 686 i.e. 1 largest integer that divides all the numbers equally.

GCD of 864, 271, 484, 686 is 1

GCD(864, 271, 484, 686) = 1

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

GCD of

GCD of numbers 864, 271, 484, 686 is 1

GCD(864, 271, 484, 686) = 1

GCD of 864,271,484,686 Calculator

GCDof 864,271,484,686 is 1

Given Input numbers are 864, 271, 484, 686

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 686

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

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

Greatest Common Divisior

We found the divisors of 864, 271, 484, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 271, 484, 686 is 1.

Therefore, GCD of numbers 864, 271, 484, 686 is 1

Finding GCD of 864, 271, 484, 686 using Prime Factorization

Given Input Data is 864, 271, 484, 686

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 271 is 271

Prime Factorization of 484 is 2 x 2 x 11 x 11

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

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

Finding GCD of 864, 271, 484, 686 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(864, 271) = 234144

GCD(864, 271) = ( 864 x 271 ) / 234144

GCD(864, 271) = 234144 / 234144

GCD(864, 271) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 864, 271, 484, 686 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 864, 271, 484, 686

1. What is the GCD of 864, 271, 484, 686?

GCD of 864, 271, 484, 686 is 1


2. Where do I get the detailed procedure to find GCD of 864, 271, 484, 686?

You can find a detailed procedure to find GCD of 864, 271, 484, 686 on our page.


3. How to find GCD of 864, 271, 484, 686 on a calculator?

You can find the GCD of 864, 271, 484, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.