GCD of 216, 831, 66, 320 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 216, 831, 66, 320 i.e. 1 largest integer that divides all the numbers equally.

GCD of 216, 831, 66, 320 is 1

GCD(216, 831, 66, 320) = 1

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

GCD of

GCD of numbers 216, 831, 66, 320 is 1

GCD(216, 831, 66, 320) = 1

GCD of 216,831,66,320 Calculator

GCDof 216,831,66,320 is 1

Given Input numbers are 216, 831, 66, 320

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 216, 831, 66, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 831, 66, 320 is 1.

Therefore, GCD of numbers 216, 831, 66, 320 is 1

Finding GCD of 216, 831, 66, 320 using Prime Factorization

Given Input Data is 216, 831, 66, 320

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 831 is 3 x 277

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Finding GCD of 216, 831, 66, 320 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(216, 831) = 59832

GCD(216, 831) = ( 216 x 831 ) / 59832

GCD(216, 831) = 179496 / 59832

GCD(216, 831) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 320

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

LCM(3, 320) = 960

GCD(3, 320) = ( 3 x 320 ) / 960

GCD(3, 320) = 960 / 960

GCD(3, 320) = 1

GCD of 216, 831, 66, 320 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 216, 831, 66, 320

1. What is the GCD of 216, 831, 66, 320?

GCD of 216, 831, 66, 320 is 1


2. Where do I get the detailed procedure to find GCD of 216, 831, 66, 320?

You can find a detailed procedure to find GCD of 216, 831, 66, 320 on our page.


3. How to find GCD of 216, 831, 66, 320 on a calculator?

You can find the GCD of 216, 831, 66, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.