GCD of 389, 760, 74, 173 Calculator

Given Input numbers are 389, 760, 74, 173

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 389, 760, 74, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 760, 74, 173 is 1.

Therefore, GCD of numbers 389, 760, 74, 173 is 1

Given Input Data is 389, 760, 74, 173

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

Prime Factorization of 389 is 389

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 74 is 2 x 37

Prime Factorization of 173 is 173

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, 760) = 295640

GCD(389, 760) = ( 389 x 760 ) / 295640

GCD(389, 760) = 295640 / 295640

GCD(389, 760) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 389, 760, 74, 173 is 1

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1. What is the GCD of 389, 760, 74, 173?

GCD of 389, 760, 74, 173 is 1

2. Where do I get the detailed procedure to find GCD of 389, 760, 74, 173?

You can find a detailed procedure to find GCD of 389, 760, 74, 173 on our page.

3. How to find GCD of 389, 760, 74, 173 on a calculator?

You can find the GCD of 389, 760, 74, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.