GCD of 315, 717, 20, 512 Calculator

Given Input numbers are 315, 717, 20, 512

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 717

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

1, 3, 239, 717

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 315, 717, 20, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 717, 20, 512 is 1.

Therefore, GCD of numbers 315, 717, 20, 512 is 1

Given Input Data is 315, 717, 20, 512

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 717 is 3 x 239

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(315, 717) = 75285

GCD(315, 717) = ( 315 x 717 ) / 75285

GCD(315, 717) = 225855 / 75285

GCD(315, 717) = 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 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 315, 717, 20, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 451, 38, 944
• GCD of 375, 712, 51, 810
• GCD of 995, 792, 87, 529
• GCD of 997, 953, 82, 679
• GCD of 413, 343, 20, 645

1. What is the GCD of 315, 717, 20, 512?

GCD of 315, 717, 20, 512 is 1

2. Where do I get the detailed procedure to find GCD of 315, 717, 20, 512?

You can find a detailed procedure to find GCD of 315, 717, 20, 512 on our page.

3. How to find GCD of 315, 717, 20, 512 on a calculator?

You can find the GCD of 315, 717, 20, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.