GCD of 395, 930, 365 Calculator

Given Input numbers are 395, 930, 365

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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 395, 930, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 930, 365 is 5.

Therefore, GCD of numbers 395, 930, 365 is 5

Given Input Data is 395, 930, 365

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 395 is 5 x 79

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 365 is 5 x 73

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(395, 930) = 73470

GCD(395, 930) = ( 395 x 930 ) / 73470

GCD(395, 930) = 367350 / 73470

GCD(395, 930) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 365

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 365) = 365

GCD(5, 365) = ( 5 x 365 ) / 365

GCD(5, 365) = 1825 / 365

GCD(5, 365) = 5

GCD of 395, 930, 365 is 5

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1. What is the GCD of 395, 930, 365?

GCD of 395, 930, 365 is 5

2. Where do I get the detailed procedure to find GCD of 395, 930, 365?

You can find a detailed procedure to find GCD of 395, 930, 365 on our page.

3. How to find GCD of 395, 930, 365 on a calculator?

You can find the GCD of 395, 930, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.