GCD of 389, 107, 689, 574 Calculator

Given Input numbers are 389, 107, 689, 574

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 389, 107, 689, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 107, 689, 574 is 1.

Therefore, GCD of numbers 389, 107, 689, 574 is 1

Given Input Data is 389, 107, 689, 574

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

Prime Factorization of 389 is 389

Prime Factorization of 107 is 107

Prime Factorization of 689 is 13 x 53

Prime Factorization of 574 is 2 x 7 x 41

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, 107) = 41623

GCD(389, 107) = ( 389 x 107 ) / 41623

GCD(389, 107) = 41623 / 41623

GCD(389, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 389, 107, 689, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 544, 411, 750
• GCD of 335, 770, 870, 822
• GCD of 655, 858, 124, 168
• GCD of 136, 137, 400, 943
• GCD of 668, 315, 404, 542

1. What is the GCD of 389, 107, 689, 574?

GCD of 389, 107, 689, 574 is 1

2. Where do I get the detailed procedure to find GCD of 389, 107, 689, 574?

You can find a detailed procedure to find GCD of 389, 107, 689, 574 on our page.

3. How to find GCD of 389, 107, 689, 574 on a calculator?

You can find the GCD of 389, 107, 689, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.