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 363, 259, 730, 652 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 259, 730, 652 is 1
GCD(363, 259, 730, 652) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 259, 730, 652 is 1
GCD(363, 259, 730, 652) = 1
Given Input numbers are 363, 259, 730, 652
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Greatest Common Divisior
We found the divisors of 363, 259, 730, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 259, 730, 652 is 1.
Therefore, GCD of numbers 363, 259, 730, 652 is 1
Given Input Data is 363, 259, 730, 652
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 259 is 7 x 37
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 652 is 2 x 2 x 163
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(363, 259) = 94017
GCD(363, 259) = ( 363 x 259 ) / 94017
GCD(363, 259) = 94017 / 94017
GCD(363, 259) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
GCD(1, 730) = 730 / 730
GCD(1, 730) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
GCD of 363, 259, 730, 652 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 259, 730, 652?
GCD of 363, 259, 730, 652 is 1
2. Where do I get the detailed procedure to find GCD of 363, 259, 730, 652?
You can find a detailed procedure to find GCD of 363, 259, 730, 652 on our page.
3. How to find GCD of 363, 259, 730, 652 on a calculator?
You can find the GCD of 363, 259, 730, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.