GCD of 717, 288, 20, 805 Calculator

Given Input numbers are 717, 288, 20, 805

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Greatest Common Divisior

We found the divisors of 717, 288, 20, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 288, 20, 805 is 1.

Therefore, GCD of numbers 717, 288, 20, 805 is 1

Given Input Data is 717, 288, 20, 805

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

Prime Factorization of 717 is 3 x 239

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 805 is 5 x 7 x 23

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(717, 288) = 68832

GCD(717, 288) = ( 717 x 288 ) / 68832

GCD(717, 288) = 206496 / 68832

GCD(717, 288) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 20

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

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

GCD(3, 20) = 60 / 60

GCD(3, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

GCD of 717, 288, 20, 805 is 1

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1. What is the GCD of 717, 288, 20, 805?

GCD of 717, 288, 20, 805 is 1

2. Where do I get the detailed procedure to find GCD of 717, 288, 20, 805?

You can find a detailed procedure to find GCD of 717, 288, 20, 805 on our page.

3. How to find GCD of 717, 288, 20, 805 on a calculator?

You can find the GCD of 717, 288, 20, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.