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 935, 965, 918, 310 i.e. 1 largest integer that divides all the numbers equally.
GCD of 935, 965, 918, 310 is 1
GCD(935, 965, 918, 310) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 935, 965, 918, 310 is 1
GCD(935, 965, 918, 310) = 1
Given Input numbers are 935, 965, 918, 310
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Greatest Common Divisior
We found the divisors of 935, 965, 918, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 935, 965, 918, 310 is 1.
Therefore, GCD of numbers 935, 965, 918, 310 is 1
Given Input Data is 935, 965, 918, 310
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 935 is 5 x 11 x 17
Prime Factorization of 965 is 5 x 193
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 310 is 2 x 5 x 31
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(935, 965) = 180455
GCD(935, 965) = ( 935 x 965 ) / 180455
GCD(935, 965) = 902275 / 180455
GCD(935, 965) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 918) = 4590
GCD(5, 918) = ( 5 x 918 ) / 4590
GCD(5, 918) = 4590 / 4590
GCD(5, 918) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
GCD of 935, 965, 918, 310 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 935, 965, 918, 310?
GCD of 935, 965, 918, 310 is 1
2. Where do I get the detailed procedure to find GCD of 935, 965, 918, 310?
You can find a detailed procedure to find GCD of 935, 965, 918, 310 on our page.
3. How to find GCD of 935, 965, 918, 310 on a calculator?
You can find the GCD of 935, 965, 918, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.