GCD of 502, 874, 74, 282 Calculator

Given Input numbers are 502, 874, 74, 282

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 74

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

1, 2, 37, 74

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 502, 874, 74, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 874, 74, 282 is 2.

Therefore, GCD of numbers 502, 874, 74, 282 is 2

Given Input Data is 502, 874, 74, 282

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 74 is 2 x 37

Prime Factorization of 282 is 2 x 3 x 47

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(502, 874) = 219374

GCD(502, 874) = ( 502 x 874 ) / 219374

GCD(502, 874) = 438748 / 219374

GCD(502, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 282

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

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

GCD(2, 282) = 564 / 282

GCD(2, 282) = 2

GCD of 502, 874, 74, 282 is 2

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1. What is the GCD of 502, 874, 74, 282?

GCD of 502, 874, 74, 282 is 2

2. Where do I get the detailed procedure to find GCD of 502, 874, 74, 282?

You can find a detailed procedure to find GCD of 502, 874, 74, 282 on our page.

3. How to find GCD of 502, 874, 74, 282 on a calculator?

You can find the GCD of 502, 874, 74, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.