GCD of 488, 506, 16, 516 Calculator

Given Input numbers are 488, 506, 16, 516

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 488, 506, 16, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 506, 16, 516 is 2.

Therefore, GCD of numbers 488, 506, 16, 516 is 2

Given Input Data is 488, 506, 16, 516

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 506 is 2 x 11 x 23

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 506) = 123464

GCD(488, 506) = ( 488 x 506 ) / 123464

GCD(488, 506) = 246928 / 123464

GCD(488, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

GCD of 488, 506, 16, 516 is 2

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1. What is the GCD of 488, 506, 16, 516?

GCD of 488, 506, 16, 516 is 2

2. Where do I get the detailed procedure to find GCD of 488, 506, 16, 516?

You can find a detailed procedure to find GCD of 488, 506, 16, 516 on our page.

3. How to find GCD of 488, 506, 16, 516 on a calculator?

You can find the GCD of 488, 506, 16, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.