GCD of 480, 411, 13, 130 Calculator

Given Input numbers are 480, 411, 13, 130

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 13

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

1, 13

Divisors of 130

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

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

Greatest Common Divisior

We found the divisors of 480, 411, 13, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 411, 13, 130 is 1.

Therefore, GCD of numbers 480, 411, 13, 130 is 1

Given Input Data is 480, 411, 13, 130

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 411 is 3 x 137

Prime Factorization of 13 is 13

Prime Factorization of 130 is 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(480, 411) = 65760

GCD(480, 411) = ( 480 x 411 ) / 65760

GCD(480, 411) = 197280 / 65760

GCD(480, 411) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 480, 411, 13, 130 is 1

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• GCD of 455, 824, 38, 870
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1. What is the GCD of 480, 411, 13, 130?

GCD of 480, 411, 13, 130 is 1

2. Where do I get the detailed procedure to find GCD of 480, 411, 13, 130?

You can find a detailed procedure to find GCD of 480, 411, 13, 130 on our page.

3. How to find GCD of 480, 411, 13, 130 on a calculator?

You can find the GCD of 480, 411, 13, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.