GCD of 506, 980, 518, 988 Calculator

Given Input numbers are 506, 980, 518, 988

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

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 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 506, 980, 518, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 980, 518, 988 is 2.

Therefore, GCD of numbers 506, 980, 518, 988 is 2

Given Input Data is 506, 980, 518, 988

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 988 is 2 x 2 x 13 x 19

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(506, 980) = 247940

GCD(506, 980) = ( 506 x 980 ) / 247940

GCD(506, 980) = 495880 / 247940

GCD(506, 980) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 518

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

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

GCD(2, 518) = 1036 / 518

GCD(2, 518) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 988

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

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

GCD(2, 988) = 1976 / 988

GCD(2, 988) = 2

GCD of 506, 980, 518, 988 is 2

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1. What is the GCD of 506, 980, 518, 988?

GCD of 506, 980, 518, 988 is 2

2. Where do I get the detailed procedure to find GCD of 506, 980, 518, 988?

You can find a detailed procedure to find GCD of 506, 980, 518, 988 on our page.

3. How to find GCD of 506, 980, 518, 988 on a calculator?

You can find the GCD of 506, 980, 518, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.