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 918, 798, 97, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 918, 798, 97, 913 is 1
GCD(918, 798, 97, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 798, 97, 913 is 1
GCD(918, 798, 97, 913) = 1
Given Input numbers are 918, 798, 97, 913
To find the GCD of numbers using factoring list out all the divisors of each number
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 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
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 918, 798, 97, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 798, 97, 913 is 1.
Therefore, GCD of numbers 918, 798, 97, 913 is 1
Given Input Data is 918, 798, 97, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 97 is 97
Prime Factorization of 913 is 11 x 83
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(918, 798) = 122094
GCD(918, 798) = ( 918 x 798 ) / 122094
GCD(918, 798) = 732564 / 122094
GCD(918, 798) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 97) = 582
GCD(6, 97) = ( 6 x 97 ) / 582
GCD(6, 97) = 582 / 582
GCD(6, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
GCD of 918, 798, 97, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 798, 97, 913?
GCD of 918, 798, 97, 913 is 1
2. Where do I get the detailed procedure to find GCD of 918, 798, 97, 913?
You can find a detailed procedure to find GCD of 918, 798, 97, 913 on our page.
3. How to find GCD of 918, 798, 97, 913 on a calculator?
You can find the GCD of 918, 798, 97, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.