GCD of 288, 189, 806, 751 Calculator

Given Input numbers are 288, 189, 806, 751

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Greatest Common Divisior

We found the divisors of 288, 189, 806, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 189, 806, 751 is 1.

Therefore, GCD of numbers 288, 189, 806, 751 is 1

Given Input Data is 288, 189, 806, 751

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 189 is 3 x 3 x 3 x 7

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 751 is 751

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, 189) = 6048

GCD(288, 189) = ( 288 x 189 ) / 6048

GCD(288, 189) = 54432 / 6048

GCD(288, 189) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 806

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

LCM(9, 806) = 7254

GCD(9, 806) = ( 9 x 806 ) / 7254

GCD(9, 806) = 7254 / 7254

GCD(9, 806) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 751

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

LCM(1, 751) = 751

GCD(1, 751) = ( 1 x 751 ) / 751

GCD(1, 751) = 751 / 751

GCD(1, 751) = 1

GCD of 288, 189, 806, 751 is 1

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1. What is the GCD of 288, 189, 806, 751?

GCD of 288, 189, 806, 751 is 1

2. Where do I get the detailed procedure to find GCD of 288, 189, 806, 751?

You can find a detailed procedure to find GCD of 288, 189, 806, 751 on our page.

3. How to find GCD of 288, 189, 806, 751 on a calculator?

You can find the GCD of 288, 189, 806, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.