GCD of 663, 884, 53, 216 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 663, 884, 53, 216 i.e. 1 largest integer that divides all the numbers equally.

GCD of 663, 884, 53, 216 is 1

GCD(663, 884, 53, 216) = 1

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

GCD of

GCD of numbers 663, 884, 53, 216 is 1

GCD(663, 884, 53, 216) = 1

GCD of 663,884,53,216 Calculator

GCDof 663,884,53,216 is 1

Given Input numbers are 663, 884, 53, 216

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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

Greatest Common Divisior

We found the divisors of 663, 884, 53, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 884, 53, 216 is 1.

Therefore, GCD of numbers 663, 884, 53, 216 is 1

Finding GCD of 663, 884, 53, 216 using Prime Factorization

Given Input Data is 663, 884, 53, 216

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 53 is 53

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

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

Finding GCD of 663, 884, 53, 216 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(663, 884) = 2652

GCD(663, 884) = ( 663 x 884 ) / 2652

GCD(663, 884) = 586092 / 2652

GCD(663, 884) = 221


Step2:

Here we consider the GCD from the above i.e. 221 as first number and the next as 53

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

LCM(221, 53) = 11713

GCD(221, 53) = ( 221 x 53 ) / 11713

GCD(221, 53) = 11713 / 11713

GCD(221, 53) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 663, 884, 53, 216 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 663, 884, 53, 216

1. What is the GCD of 663, 884, 53, 216?

GCD of 663, 884, 53, 216 is 1


2. Where do I get the detailed procedure to find GCD of 663, 884, 53, 216?

You can find a detailed procedure to find GCD of 663, 884, 53, 216 on our page.


3. How to find GCD of 663, 884, 53, 216 on a calculator?

You can find the GCD of 663, 884, 53, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.