GCD of 404, 717, 72, 345 Calculator

Given Input numbers are 404, 717, 72, 345

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 717

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

1, 3, 239, 717

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 404, 717, 72, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 717, 72, 345 is 1.

Therefore, GCD of numbers 404, 717, 72, 345 is 1

Given Input Data is 404, 717, 72, 345

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 717 is 3 x 239

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 345 is 3 x 5 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(404, 717) = 289668

GCD(404, 717) = ( 404 x 717 ) / 289668

GCD(404, 717) = 289668 / 289668

GCD(404, 717) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 404, 717, 72, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 806, 42, 354
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• GCD of 773, 613, 46, 749

1. What is the GCD of 404, 717, 72, 345?

GCD of 404, 717, 72, 345 is 1

2. Where do I get the detailed procedure to find GCD of 404, 717, 72, 345?

You can find a detailed procedure to find GCD of 404, 717, 72, 345 on our page.

3. How to find GCD of 404, 717, 72, 345 on a calculator?

You can find the GCD of 404, 717, 72, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.