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 365, 617, 460, 303 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 617, 460, 303 is 1
GCD(365, 617, 460, 303) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 617, 460, 303 is 1
GCD(365, 617, 460, 303) = 1
Given Input numbers are 365, 617, 460, 303
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Greatest Common Divisior
We found the divisors of 365, 617, 460, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 617, 460, 303 is 1.
Therefore, GCD of numbers 365, 617, 460, 303 is 1
Given Input Data is 365, 617, 460, 303
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 617 is 617
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 303 is 3 x 101
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(365, 617) = 225205
GCD(365, 617) = ( 365 x 617 ) / 225205
GCD(365, 617) = 225205 / 225205
GCD(365, 617) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 303
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 303) = 303
GCD(1, 303) = ( 1 x 303 ) / 303
GCD(1, 303) = 303 / 303
GCD(1, 303) = 1
GCD of 365, 617, 460, 303 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 617, 460, 303?
GCD of 365, 617, 460, 303 is 1
2. Where do I get the detailed procedure to find GCD of 365, 617, 460, 303?
You can find a detailed procedure to find GCD of 365, 617, 460, 303 on our page.
3. How to find GCD of 365, 617, 460, 303 on a calculator?
You can find the GCD of 365, 617, 460, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.