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 913, 363, 31, 716 i.e. 1 largest integer that divides all the numbers equally.
GCD of 913, 363, 31, 716 is 1
GCD(913, 363, 31, 716) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 913, 363, 31, 716 is 1
GCD(913, 363, 31, 716) = 1
Given Input numbers are 913, 363, 31, 716
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Greatest Common Divisior
We found the divisors of 913, 363, 31, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 913, 363, 31, 716 is 1.
Therefore, GCD of numbers 913, 363, 31, 716 is 1
Given Input Data is 913, 363, 31, 716
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 913 is 11 x 83
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 31 is 31
Prime Factorization of 716 is 2 x 2 x 179
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(913, 363) = 30129
GCD(913, 363) = ( 913 x 363 ) / 30129
GCD(913, 363) = 331419 / 30129
GCD(913, 363) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 31) = 341
GCD(11, 31) = ( 11 x 31 ) / 341
GCD(11, 31) = 341 / 341
GCD(11, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 716) = 716
GCD(1, 716) = ( 1 x 716 ) / 716
GCD(1, 716) = 716 / 716
GCD(1, 716) = 1
GCD of 913, 363, 31, 716 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 913, 363, 31, 716?
GCD of 913, 363, 31, 716 is 1
2. Where do I get the detailed procedure to find GCD of 913, 363, 31, 716?
You can find a detailed procedure to find GCD of 913, 363, 31, 716 on our page.
3. How to find GCD of 913, 363, 31, 716 on a calculator?
You can find the GCD of 913, 363, 31, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.