GCD of 317, 200, 41, 512 Calculator

Given Input numbers are 317, 200, 41, 512

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 317, 200, 41, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 200, 41, 512 is 1.

Therefore, GCD of numbers 317, 200, 41, 512 is 1

Given Input Data is 317, 200, 41, 512

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

Prime Factorization of 317 is 317

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 41 is 41

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(317, 200) = 63400

GCD(317, 200) = ( 317 x 200 ) / 63400

GCD(317, 200) = 63400 / 63400

GCD(317, 200) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 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 317, 200, 41, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 146, 29, 301
• GCD of 172, 413, 31, 324
• GCD of 680, 896, 11, 714
• GCD of 411, 785, 28, 793
• GCD of 100, 911, 10, 876

1. What is the GCD of 317, 200, 41, 512?

GCD of 317, 200, 41, 512 is 1

2. Where do I get the detailed procedure to find GCD of 317, 200, 41, 512?

You can find a detailed procedure to find GCD of 317, 200, 41, 512 on our page.

3. How to find GCD of 317, 200, 41, 512 on a calculator?

You can find the GCD of 317, 200, 41, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.