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 303, 474, 39, 365 i.e. 1 largest integer that divides all the numbers equally.
GCD of 303, 474, 39, 365 is 1
GCD(303, 474, 39, 365) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 303, 474, 39, 365 is 1
GCD(303, 474, 39, 365) = 1
Given Input numbers are 303, 474, 39, 365
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Greatest Common Divisior
We found the divisors of 303, 474, 39, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 474, 39, 365 is 1.
Therefore, GCD of numbers 303, 474, 39, 365 is 1
Given Input Data is 303, 474, 39, 365
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 303 is 3 x 101
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 39 is 3 x 13
Prime Factorization of 365 is 5 x 73
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(303, 474) = 47874
GCD(303, 474) = ( 303 x 474 ) / 47874
GCD(303, 474) = 143622 / 47874
GCD(303, 474) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 39) = 39
GCD(3, 39) = ( 3 x 39 ) / 39
GCD(3, 39) = 117 / 39
GCD(3, 39) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 365
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 365) = 1095
GCD(3, 365) = ( 3 x 365 ) / 1095
GCD(3, 365) = 1095 / 1095
GCD(3, 365) = 1
GCD of 303, 474, 39, 365 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 303, 474, 39, 365?
GCD of 303, 474, 39, 365 is 1
2. Where do I get the detailed procedure to find GCD of 303, 474, 39, 365?
You can find a detailed procedure to find GCD of 303, 474, 39, 365 on our page.
3. How to find GCD of 303, 474, 39, 365 on a calculator?
You can find the GCD of 303, 474, 39, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.