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 305, 990, 717, 937 i.e. 1 largest integer that divides all the numbers equally.
GCD of 305, 990, 717, 937 is 1
GCD(305, 990, 717, 937) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 305, 990, 717, 937 is 1
GCD(305, 990, 717, 937) = 1
Given Input numbers are 305, 990, 717, 937
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Greatest Common Divisior
We found the divisors of 305, 990, 717, 937 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 990, 717, 937 is 1.
Therefore, GCD of numbers 305, 990, 717, 937 is 1
Given Input Data is 305, 990, 717, 937
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 305 is 5 x 61
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 717 is 3 x 239
Prime Factorization of 937 is 937
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(305, 990) = 60390
GCD(305, 990) = ( 305 x 990 ) / 60390
GCD(305, 990) = 301950 / 60390
GCD(305, 990) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 717) = 3585
GCD(5, 717) = ( 5 x 717 ) / 3585
GCD(5, 717) = 3585 / 3585
GCD(5, 717) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 937
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 937) = 937
GCD(1, 937) = ( 1 x 937 ) / 937
GCD(1, 937) = 937 / 937
GCD(1, 937) = 1
GCD of 305, 990, 717, 937 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 305, 990, 717, 937?
GCD of 305, 990, 717, 937 is 1
2. Where do I get the detailed procedure to find GCD of 305, 990, 717, 937?
You can find a detailed procedure to find GCD of 305, 990, 717, 937 on our page.
3. How to find GCD of 305, 990, 717, 937 on a calculator?
You can find the GCD of 305, 990, 717, 937 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.