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 915, 313, 685, 798 i.e. 1 largest integer that divides all the numbers equally.
GCD of 915, 313, 685, 798 is 1
GCD(915, 313, 685, 798) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 915, 313, 685, 798 is 1
GCD(915, 313, 685, 798) = 1
Given Input numbers are 915, 313, 685, 798
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 915, 313, 685, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 313, 685, 798 is 1.
Therefore, GCD of numbers 915, 313, 685, 798 is 1
Given Input Data is 915, 313, 685, 798
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 915 is 3 x 5 x 61
Prime Factorization of 313 is 313
Prime Factorization of 685 is 5 x 137
Prime Factorization of 798 is 2 x 3 x 7 x 19
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(915, 313) = 286395
GCD(915, 313) = ( 915 x 313 ) / 286395
GCD(915, 313) = 286395 / 286395
GCD(915, 313) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
GCD(1, 685) = 685 / 685
GCD(1, 685) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
GCD of 915, 313, 685, 798 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 915, 313, 685, 798?
GCD of 915, 313, 685, 798 is 1
2. Where do I get the detailed procedure to find GCD of 915, 313, 685, 798?
You can find a detailed procedure to find GCD of 915, 313, 685, 798 on our page.
3. How to find GCD of 915, 313, 685, 798 on a calculator?
You can find the GCD of 915, 313, 685, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.