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 965, 403, 81, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 965, 403, 81, 216 is 1
GCD(965, 403, 81, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 965, 403, 81, 216 is 1
GCD(965, 403, 81, 216) = 1
Given Input numbers are 965, 403, 81, 216
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
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 965, 403, 81, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 403, 81, 216 is 1.
Therefore, GCD of numbers 965, 403, 81, 216 is 1
Given Input Data is 965, 403, 81, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 965 is 5 x 193
Prime Factorization of 403 is 13 x 31
Prime Factorization of 81 is 3 x 3 x 3 x 3
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(965, 403) = 388895
GCD(965, 403) = ( 965 x 403 ) / 388895
GCD(965, 403) = 388895 / 388895
GCD(965, 403) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 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 965, 403, 81, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 965, 403, 81, 216?
GCD of 965, 403, 81, 216 is 1
2. Where do I get the detailed procedure to find GCD of 965, 403, 81, 216?
You can find a detailed procedure to find GCD of 965, 403, 81, 216 on our page.
3. How to find GCD of 965, 403, 81, 216 on a calculator?
You can find the GCD of 965, 403, 81, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.