GCD of 288, 497, 81, 904 Calculator

Given Input numbers are 288, 497, 81, 904

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 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 288, 497, 81, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 497, 81, 904 is 1.

Therefore, GCD of numbers 288, 497, 81, 904 is 1

Given Input Data is 288, 497, 81, 904

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 497 is 7 x 71

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 904 is 2 x 2 x 2 x 113

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, 497) = 143136

GCD(288, 497) = ( 288 x 497 ) / 143136

GCD(288, 497) = 143136 / 143136

GCD(288, 497) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 288, 497, 81, 904 is 1

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1. What is the GCD of 288, 497, 81, 904?

GCD of 288, 497, 81, 904 is 1

2. Where do I get the detailed procedure to find GCD of 288, 497, 81, 904?

You can find a detailed procedure to find GCD of 288, 497, 81, 904 on our page.

3. How to find GCD of 288, 497, 81, 904 on a calculator?

You can find the GCD of 288, 497, 81, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.