GCD of 389, 590, 19, 741 Calculator

Given Input numbers are 389, 590, 19, 741

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 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 389, 590, 19, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 590, 19, 741 is 1.

Therefore, GCD of numbers 389, 590, 19, 741 is 1

Given Input Data is 389, 590, 19, 741

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

Prime Factorization of 389 is 389

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 19 is 19

Prime Factorization of 741 is 3 x 13 x 19

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, 590) = 229510

GCD(389, 590) = ( 389 x 590 ) / 229510

GCD(389, 590) = 229510 / 229510

GCD(389, 590) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

GCD of 389, 590, 19, 741 is 1

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1. What is the GCD of 389, 590, 19, 741?

GCD of 389, 590, 19, 741 is 1

2. Where do I get the detailed procedure to find GCD of 389, 590, 19, 741?

You can find a detailed procedure to find GCD of 389, 590, 19, 741 on our page.

3. How to find GCD of 389, 590, 19, 741 on a calculator?

You can find the GCD of 389, 590, 19, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.