GCD of 389, 685, 23, 748 Calculator

Given Input numbers are 389, 685, 23, 748

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 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 389, 685, 23, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 685, 23, 748 is 1.

Therefore, GCD of numbers 389, 685, 23, 748 is 1

Given Input Data is 389, 685, 23, 748

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

Prime Factorization of 389 is 389

Prime Factorization of 685 is 5 x 137

Prime Factorization of 23 is 23

Prime Factorization of 748 is 2 x 2 x 11 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, 685) = 266465

GCD(389, 685) = ( 389 x 685 ) / 266465

GCD(389, 685) = 266465 / 266465

GCD(389, 685) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 389, 685, 23, 748 is 1

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1. What is the GCD of 389, 685, 23, 748?

GCD of 389, 685, 23, 748 is 1

2. Where do I get the detailed procedure to find GCD of 389, 685, 23, 748?

You can find a detailed procedure to find GCD of 389, 685, 23, 748 on our page.

3. How to find GCD of 389, 685, 23, 748 on a calculator?

You can find the GCD of 389, 685, 23, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.