GCD of 240, 130, 16, 559 Calculator

Given Input numbers are 240, 130, 16, 559

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

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

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 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 240, 130, 16, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 130, 16, 559 is 1.

Therefore, GCD of numbers 240, 130, 16, 559 is 1

Given Input Data is 240, 130, 16, 559

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 559 is 13 x 43

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(240, 130) = 3120

GCD(240, 130) = ( 240 x 130 ) / 3120

GCD(240, 130) = 31200 / 3120

GCD(240, 130) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 16

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

LCM(10, 16) = 80

GCD(10, 16) = ( 10 x 16 ) / 80

GCD(10, 16) = 160 / 80

GCD(10, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 559

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

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

GCD(2, 559) = 1118 / 1118

GCD(2, 559) = 1

GCD of 240, 130, 16, 559 is 1

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1. What is the GCD of 240, 130, 16, 559?

GCD of 240, 130, 16, 559 is 1

2. Where do I get the detailed procedure to find GCD of 240, 130, 16, 559?

You can find a detailed procedure to find GCD of 240, 130, 16, 559 on our page.

3. How to find GCD of 240, 130, 16, 559 on a calculator?

You can find the GCD of 240, 130, 16, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.