GCD of 389, 308, 578 Calculator

Given Input numbers are 389, 308, 578

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 389, 308, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 308, 578 is 1.

Therefore, GCD of numbers 389, 308, 578 is 1

Given Input Data is 389, 308, 578

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

Prime Factorization of 389 is 389

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 578 is 2 x 17 x 17

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(389, 308) = 119812

GCD(389, 308) = ( 389 x 308 ) / 119812

GCD(389, 308) = 119812 / 119812

GCD(389, 308) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 389, 308, 578 is 1

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1. What is the GCD of 389, 308, 578?

GCD of 389, 308, 578 is 1

2. Where do I get the detailed procedure to find GCD of 389, 308, 578?

You can find a detailed procedure to find GCD of 389, 308, 578 on our page.

3. How to find GCD of 389, 308, 578 on a calculator?

You can find the GCD of 389, 308, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.