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 272, 328, 216, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 272, 328, 216, 913 is 1
GCD(272, 328, 216, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 272, 328, 216, 913 is 1
GCD(272, 328, 216, 913) = 1
Given Input numbers are 272, 328, 216, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
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 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 272, 328, 216, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 328, 216, 913 is 1.
Therefore, GCD of numbers 272, 328, 216, 913 is 1
Given Input Data is 272, 328, 216, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 913 is 11 x 83
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(272, 328) = 11152
GCD(272, 328) = ( 272 x 328 ) / 11152
GCD(272, 328) = 89216 / 11152
GCD(272, 328) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 216) = 216
GCD(8, 216) = ( 8 x 216 ) / 216
GCD(8, 216) = 1728 / 216
GCD(8, 216) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 913) = 7304
GCD(8, 913) = ( 8 x 913 ) / 7304
GCD(8, 913) = 7304 / 7304
GCD(8, 913) = 1
GCD of 272, 328, 216, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 272, 328, 216, 913?
GCD of 272, 328, 216, 913 is 1
2. Where do I get the detailed procedure to find GCD of 272, 328, 216, 913?
You can find a detailed procedure to find GCD of 272, 328, 216, 913 on our page.
3. How to find GCD of 272, 328, 216, 913 on a calculator?
You can find the GCD of 272, 328, 216, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.