GCD of 800, 409, 58, 717 Calculator

Given Input numbers are 800, 409, 58, 717

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 717

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

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 800, 409, 58, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 409, 58, 717 is 1.

Therefore, GCD of numbers 800, 409, 58, 717 is 1

Given Input Data is 800, 409, 58, 717

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 409 is 409

Prime Factorization of 58 is 2 x 29

Prime Factorization of 717 is 3 x 239

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(800, 409) = 327200

GCD(800, 409) = ( 800 x 409 ) / 327200

GCD(800, 409) = 327200 / 327200

GCD(800, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 800, 409, 58, 717 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 125, 60, 979
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• GCD of 919, 986, 41, 130

1. What is the GCD of 800, 409, 58, 717?

GCD of 800, 409, 58, 717 is 1

2. Where do I get the detailed procedure to find GCD of 800, 409, 58, 717?

You can find a detailed procedure to find GCD of 800, 409, 58, 717 on our page.

3. How to find GCD of 800, 409, 58, 717 on a calculator?

You can find the GCD of 800, 409, 58, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.