GCD of 389, 760, 472, 800 Calculator

Given Input numbers are 389, 760, 472, 800

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 389, 760, 472, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 760, 472, 800 is 1.

Therefore, GCD of numbers 389, 760, 472, 800 is 1

Given Input Data is 389, 760, 472, 800

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 472 is 2 x 2 x 2 x 59

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 389, 760, 472, 800 is 1

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• GCD of 323, 432, 655, 643
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• GCD of 239, 911, 316, 314

1. What is the GCD of 389, 760, 472, 800?

GCD of 389, 760, 472, 800 is 1

2. Where do I get the detailed procedure to find GCD of 389, 760, 472, 800?

You can find a detailed procedure to find GCD of 389, 760, 472, 800 on our page.

3. How to find GCD of 389, 760, 472, 800 on a calculator?

You can find the GCD of 389, 760, 472, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.