GCD of 13, 427, 519, 318 Calculator

Given Input numbers are 13, 427, 519, 318

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 13, 427, 519, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 427, 519, 318 is 1.

Therefore, GCD of numbers 13, 427, 519, 318 is 1

Given Input Data is 13, 427, 519, 318

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

Prime Factorization of 13 is 13

Prime Factorization of 427 is 7 x 61

Prime Factorization of 519 is 3 x 173

Prime Factorization of 318 is 2 x 3 x 53

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(13, 427) = 5551

GCD(13, 427) = ( 13 x 427 ) / 5551

GCD(13, 427) = 5551 / 5551

GCD(13, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 519

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

LCM(1, 519) = 519

GCD(1, 519) = ( 1 x 519 ) / 519

GCD(1, 519) = 519 / 519

GCD(1, 519) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 13, 427, 519, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 985, 204, 920
• GCD of 87, 572, 160, 295
• GCD of 54, 276, 769, 703
• GCD of 44, 923, 433, 331
• GCD of 87, 869, 894, 210

1. What is the GCD of 13, 427, 519, 318?

GCD of 13, 427, 519, 318 is 1

2. Where do I get the detailed procedure to find GCD of 13, 427, 519, 318?

You can find a detailed procedure to find GCD of 13, 427, 519, 318 on our page.

3. How to find GCD of 13, 427, 519, 318 on a calculator?

You can find the GCD of 13, 427, 519, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.