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 605, 363, 91, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 605, 363, 91, 323 is 1
GCD(605, 363, 91, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 605, 363, 91, 323 is 1
GCD(605, 363, 91, 323) = 1
Given Input numbers are 605, 363, 91, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 605, 363, 91, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 363, 91, 323 is 1.
Therefore, GCD of numbers 605, 363, 91, 323 is 1
Given Input Data is 605, 363, 91, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 91 is 7 x 13
Prime Factorization of 323 is 17 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(605, 363) = 1815
GCD(605, 363) = ( 605 x 363 ) / 1815
GCD(605, 363) = 219615 / 1815
GCD(605, 363) = 121
Step2:
Here we consider the GCD from the above i.e. 121 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(121, 91) = 11011
GCD(121, 91) = ( 121 x 91 ) / 11011
GCD(121, 91) = 11011 / 11011
GCD(121, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
GCD of 605, 363, 91, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 605, 363, 91, 323?
GCD of 605, 363, 91, 323 is 1
2. Where do I get the detailed procedure to find GCD of 605, 363, 91, 323?
You can find a detailed procedure to find GCD of 605, 363, 91, 323 on our page.
3. How to find GCD of 605, 363, 91, 323 on a calculator?
You can find the GCD of 605, 363, 91, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.