GCD of 217, 963, 11, 504 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 217, 963, 11, 504 i.e. 1 largest integer that divides all the numbers equally.

GCD of 217, 963, 11, 504 is 1

GCD(217, 963, 11, 504) = 1

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

GCD of

GCD of numbers 217, 963, 11, 504 is 1

GCD(217, 963, 11, 504) = 1

GCD of 217,963,11,504 Calculator

GCDof 217,963,11,504 is 1

Given Input numbers are 217, 963, 11, 504

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 217, 963, 11, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 963, 11, 504 is 1.

Therefore, GCD of numbers 217, 963, 11, 504 is 1

Finding GCD of 217, 963, 11, 504 using Prime Factorization

Given Input Data is 217, 963, 11, 504

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 11 is 11

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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

Finding GCD of 217, 963, 11, 504 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(217, 963) = 208971

GCD(217, 963) = ( 217 x 963 ) / 208971

GCD(217, 963) = 208971 / 208971

GCD(217, 963) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 217, 963, 11, 504 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 217, 963, 11, 504

1. What is the GCD of 217, 963, 11, 504?

GCD of 217, 963, 11, 504 is 1


2. Where do I get the detailed procedure to find GCD of 217, 963, 11, 504?

You can find a detailed procedure to find GCD of 217, 963, 11, 504 on our page.


3. How to find GCD of 217, 963, 11, 504 on a calculator?

You can find the GCD of 217, 963, 11, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.