GCD of 447, 600, 39, 388 Calculator

Given Input numbers are 447, 600, 39, 388

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 447, 600, 39, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 600, 39, 388 is 1.

Therefore, GCD of numbers 447, 600, 39, 388 is 1

Given Input Data is 447, 600, 39, 388

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 39 is 3 x 13

Prime Factorization of 388 is 2 x 2 x 97

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(447, 600) = 89400

GCD(447, 600) = ( 447 x 600 ) / 89400

GCD(447, 600) = 268200 / 89400

GCD(447, 600) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 388

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

LCM(3, 388) = 1164

GCD(3, 388) = ( 3 x 388 ) / 1164

GCD(3, 388) = 1164 / 1164

GCD(3, 388) = 1

GCD of 447, 600, 39, 388 is 1

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1. What is the GCD of 447, 600, 39, 388?

GCD of 447, 600, 39, 388 is 1

2. Where do I get the detailed procedure to find GCD of 447, 600, 39, 388?

You can find a detailed procedure to find GCD of 447, 600, 39, 388 on our page.

3. How to find GCD of 447, 600, 39, 388 on a calculator?

You can find the GCD of 447, 600, 39, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.