GCD of 317, 345, 92, 513 Calculator

Given Input numbers are 317, 345, 92, 513

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 345

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

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

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 317, 345, 92, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 345, 92, 513 is 1.

Therefore, GCD of numbers 317, 345, 92, 513 is 1

Given Input Data is 317, 345, 92, 513

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

Prime Factorization of 317 is 317

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 513 is 3 x 3 x 3 x 19

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, 345) = 109365

GCD(317, 345) = ( 317 x 345 ) / 109365

GCD(317, 345) = 109365 / 109365

GCD(317, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 92

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

LCM(1, 92) = 92

GCD(1, 92) = ( 1 x 92 ) / 92

GCD(1, 92) = 92 / 92

GCD(1, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 317, 345, 92, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 888, 91, 489
• GCD of 772, 256, 22, 491
• GCD of 789, 500, 99, 465
• GCD of 646, 474, 38, 544
• GCD of 779, 711, 45, 197

1. What is the GCD of 317, 345, 92, 513?

GCD of 317, 345, 92, 513 is 1

2. Where do I get the detailed procedure to find GCD of 317, 345, 92, 513?

You can find a detailed procedure to find GCD of 317, 345, 92, 513 on our page.

3. How to find GCD of 317, 345, 92, 513 on a calculator?

You can find the GCD of 317, 345, 92, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.