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 311, 910, 31, 816 i.e. 1 largest integer that divides all the numbers equally.
GCD of 311, 910, 31, 816 is 1
GCD(311, 910, 31, 816) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 311, 910, 31, 816 is 1
GCD(311, 910, 31, 816) = 1
Given Input numbers are 311, 910, 31, 816
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Greatest Common Divisior
We found the divisors of 311, 910, 31, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 910, 31, 816 is 1.
Therefore, GCD of numbers 311, 910, 31, 816 is 1
Given Input Data is 311, 910, 31, 816
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 311 is 311
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 31 is 31
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
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(311, 910) = 283010
GCD(311, 910) = ( 311 x 910 ) / 283010
GCD(311, 910) = 283010 / 283010
GCD(311, 910) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 816
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 816) = 816
GCD(1, 816) = ( 1 x 816 ) / 816
GCD(1, 816) = 816 / 816
GCD(1, 816) = 1
GCD of 311, 910, 31, 816 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 311, 910, 31, 816?
GCD of 311, 910, 31, 816 is 1
2. Where do I get the detailed procedure to find GCD of 311, 910, 31, 816?
You can find a detailed procedure to find GCD of 311, 910, 31, 816 on our page.
3. How to find GCD of 311, 910, 31, 816 on a calculator?
You can find the GCD of 311, 910, 31, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.