GCD of 288, 173, 38, 720 Calculator

Given Input numbers are 288, 173, 38, 720

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 173

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

1, 173

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 288, 173, 38, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 173, 38, 720 is 1.

Therefore, GCD of numbers 288, 173, 38, 720 is 1

Given Input Data is 288, 173, 38, 720

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 173 is 173

Prime Factorization of 38 is 2 x 19

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 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(288, 173) = 49824

GCD(288, 173) = ( 288 x 173 ) / 49824

GCD(288, 173) = 49824 / 49824

GCD(288, 173) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 288, 173, 38, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 672, 75, 162
• GCD of 723, 673, 29, 380
• GCD of 462, 546, 48, 182
• GCD of 796, 197, 38, 766
• GCD of 136, 745, 45, 829

1. What is the GCD of 288, 173, 38, 720?

GCD of 288, 173, 38, 720 is 1

2. Where do I get the detailed procedure to find GCD of 288, 173, 38, 720?

You can find a detailed procedure to find GCD of 288, 173, 38, 720 on our page.

3. How to find GCD of 288, 173, 38, 720 on a calculator?

You can find the GCD of 288, 173, 38, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.