GCD of 488, 559, 13, 410 Calculator

Given Input numbers are 488, 559, 13, 410

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 559

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

1, 13, 43, 559

Divisors of 13

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

1, 13

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Greatest Common Divisior

We found the divisors of 488, 559, 13, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 559, 13, 410 is 1.

Therefore, GCD of numbers 488, 559, 13, 410 is 1

Given Input Data is 488, 559, 13, 410

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 559 is 13 x 43

Prime Factorization of 13 is 13

Prime Factorization of 410 is 2 x 5 x 41

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(488, 559) = 272792

GCD(488, 559) = ( 488 x 559 ) / 272792

GCD(488, 559) = 272792 / 272792

GCD(488, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 410

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

LCM(1, 410) = 410

GCD(1, 410) = ( 1 x 410 ) / 410

GCD(1, 410) = 410 / 410

GCD(1, 410) = 1

GCD of 488, 559, 13, 410 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 152, 61, 687
• GCD of 983, 499, 32, 468
• GCD of 937, 598, 61, 674
• GCD of 745, 767, 43, 372
• GCD of 165, 831, 81, 118

1. What is the GCD of 488, 559, 13, 410?

GCD of 488, 559, 13, 410 is 1

2. Where do I get the detailed procedure to find GCD of 488, 559, 13, 410?

You can find a detailed procedure to find GCD of 488, 559, 13, 410 on our page.

3. How to find GCD of 488, 559, 13, 410 on a calculator?

You can find the GCD of 488, 559, 13, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.