GCD of 806, 288, 99, 649 Calculator

Given Input numbers are 806, 288, 99, 649

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

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 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 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 806, 288, 99, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 288, 99, 649 is 1.

Therefore, GCD of numbers 806, 288, 99, 649 is 1

Given Input Data is 806, 288, 99, 649

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

Prime Factorization of 806 is 2 x 13 x 31

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 649 is 11 x 59

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(806, 288) = 116064

GCD(806, 288) = ( 806 x 288 ) / 116064

GCD(806, 288) = 232128 / 116064

GCD(806, 288) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 806, 288, 99, 649 is 1

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1. What is the GCD of 806, 288, 99, 649?

GCD of 806, 288, 99, 649 is 1

2. Where do I get the detailed procedure to find GCD of 806, 288, 99, 649?

You can find a detailed procedure to find GCD of 806, 288, 99, 649 on our page.

3. How to find GCD of 806, 288, 99, 649 on a calculator?

You can find the GCD of 806, 288, 99, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.