GCD of 494, 884, 74, 508 Calculator

Given Input numbers are 494, 884, 74, 508

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 508

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

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 494, 884, 74, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 884, 74, 508 is 2.

Therefore, GCD of numbers 494, 884, 74, 508 is 2

Given Input Data is 494, 884, 74, 508

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 74 is 2 x 37

Prime Factorization of 508 is 2 x 2 x 127

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(494, 884) = 16796

GCD(494, 884) = ( 494 x 884 ) / 16796

GCD(494, 884) = 436696 / 16796

GCD(494, 884) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 74

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

LCM(26, 74) = 962

GCD(26, 74) = ( 26 x 74 ) / 962

GCD(26, 74) = 1924 / 962

GCD(26, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

GCD of 494, 884, 74, 508 is 2

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1. What is the GCD of 494, 884, 74, 508?

GCD of 494, 884, 74, 508 is 2

2. Where do I get the detailed procedure to find GCD of 494, 884, 74, 508?

You can find a detailed procedure to find GCD of 494, 884, 74, 508 on our page.

3. How to find GCD of 494, 884, 74, 508 on a calculator?

You can find the GCD of 494, 884, 74, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.