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 numbers 663, 884, 53, 216 is 1
GCD(663, 884, 53, 216) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.