GCD of 559, 336, 400, 130 Calculator

Given Input numbers are 559, 336, 400, 130

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

Divisors of 559

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

1, 13, 43, 559

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 559, 336, 400, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 336, 400, 130 is 1.

Therefore, GCD of numbers 559, 336, 400, 130 is 1

Given Input Data is 559, 336, 400, 130

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(559, 336) = 187824

GCD(559, 336) = ( 559 x 336 ) / 187824

GCD(559, 336) = 187824 / 187824

GCD(559, 336) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 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 559, 336, 400, 130 is 1

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1. What is the GCD of 559, 336, 400, 130?

GCD of 559, 336, 400, 130 is 1

2. Where do I get the detailed procedure to find GCD of 559, 336, 400, 130?

You can find a detailed procedure to find GCD of 559, 336, 400, 130 on our page.

3. How to find GCD of 559, 336, 400, 130 on a calculator?

You can find the GCD of 559, 336, 400, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.