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 513, 216, 11, 191 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 216, 11, 191 is 1
GCD(513, 216, 11, 191) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 216, 11, 191 is 1
GCD(513, 216, 11, 191) = 1
Given Input numbers are 513, 216, 11, 191
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
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 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Greatest Common Divisior
We found the divisors of 513, 216, 11, 191 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 216, 11, 191 is 1.
Therefore, GCD of numbers 513, 216, 11, 191 is 1
Given Input Data is 513, 216, 11, 191
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 11 is 11
Prime Factorization of 191 is 191
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(513, 216) = 4104
GCD(513, 216) = ( 513 x 216 ) / 4104
GCD(513, 216) = 110808 / 4104
GCD(513, 216) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 11) = 297
GCD(27, 11) = ( 27 x 11 ) / 297
GCD(27, 11) = 297 / 297
GCD(27, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 191
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 191) = 191
GCD(1, 191) = ( 1 x 191 ) / 191
GCD(1, 191) = 191 / 191
GCD(1, 191) = 1
GCD of 513, 216, 11, 191 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 216, 11, 191?
GCD of 513, 216, 11, 191 is 1
2. Where do I get the detailed procedure to find GCD of 513, 216, 11, 191?
You can find a detailed procedure to find GCD of 513, 216, 11, 191 on our page.
3. How to find GCD of 513, 216, 11, 191 on a calculator?
You can find the GCD of 513, 216, 11, 191 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.