GCD of 315, 935, 991 Calculator
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 315, 935, 991 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 935, 991 is 1
GCD(315, 935, 991) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 935, 991 is 1
GCD(315, 935, 991) = 1
GCDof 315,935,991 is 1
Given Input numbers are 315, 935, 991
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
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 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Greatest Common Divisior
We found the divisors of 315, 935, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 935, 991 is 1.
Therefore, GCD of numbers 315, 935, 991 is 1
Given Input Data is 315, 935, 991
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 935 is 5 x 11 x 17
Prime Factorization of 991 is 991
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 315, 935, 991 using LCM Formula
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(315, 935) = 58905
GCD(315, 935) = ( 315 x 935 ) / 58905
GCD(315, 935) = 294525 / 58905
GCD(315, 935) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 991) = 4955
GCD(5, 991) = ( 5 x 991 ) / 4955
GCD(5, 991) = 4955 / 4955
GCD(5, 991) = 1
GCD of 315, 935, 991 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 315, 935, 991
1. What is the GCD of 315, 935, 991?
GCD of 315, 935, 991 is 1
2. Where do I get the detailed procedure to find GCD of 315, 935, 991?
You can find a detailed procedure to find GCD of 315, 935, 991 on our page.
3. How to find GCD of 315, 935, 991 on a calculator?
You can find the GCD of 315, 935, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.