GCD of 508, 590, 504, 998 Calculator

Given Input numbers are 508, 590, 504, 998

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 508, 590, 504, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 590, 504, 998 is 2.

Therefore, GCD of numbers 508, 590, 504, 998 is 2

Given Input Data is 508, 590, 504, 998

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 998 is 2 x 499

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(508, 590) = 149860

GCD(508, 590) = ( 508 x 590 ) / 149860

GCD(508, 590) = 299720 / 149860

GCD(508, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 998

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

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

GCD(2, 998) = 1996 / 998

GCD(2, 998) = 2

GCD of 508, 590, 504, 998 is 2

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1. What is the GCD of 508, 590, 504, 998?

GCD of 508, 590, 504, 998 is 2

2. Where do I get the detailed procedure to find GCD of 508, 590, 504, 998?

You can find a detailed procedure to find GCD of 508, 590, 504, 998 on our page.

3. How to find GCD of 508, 590, 504, 998 on a calculator?

You can find the GCD of 508, 590, 504, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.