GCD of 130, 412, 17, 520 Calculator

Given Input numbers are 130, 412, 17, 520

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 130, 412, 17, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 412, 17, 520 is 1.

Therefore, GCD of numbers 130, 412, 17, 520 is 1

Given Input Data is 130, 412, 17, 520

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 17 is 17

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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(130, 412) = 26780

GCD(130, 412) = ( 130 x 412 ) / 26780

GCD(130, 412) = 53560 / 26780

GCD(130, 412) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 130, 412, 17, 520 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 746, 15, 628
• GCD of 801, 575, 49, 968
• GCD of 796, 292, 83, 220
• GCD of 843, 371, 96, 275
• GCD of 797, 920, 28, 375

1. What is the GCD of 130, 412, 17, 520?

GCD of 130, 412, 17, 520 is 1

2. Where do I get the detailed procedure to find GCD of 130, 412, 17, 520?

You can find a detailed procedure to find GCD of 130, 412, 17, 520 on our page.

3. How to find GCD of 130, 412, 17, 520 on a calculator?

You can find the GCD of 130, 412, 17, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.