GCD of 282, 748, 204, 424 Calculator

Given Input numbers are 282, 748, 204, 424

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

Divisors of 282

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

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 282, 748, 204, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 748, 204, 424 is 2.

Therefore, GCD of numbers 282, 748, 204, 424 is 2

Given Input Data is 282, 748, 204, 424

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(282, 748) = 105468

GCD(282, 748) = ( 282 x 748 ) / 105468

GCD(282, 748) = 210936 / 105468

GCD(282, 748) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 204

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

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

GCD(2, 204) = 408 / 204

GCD(2, 204) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 424

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

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

GCD(2, 424) = 848 / 424

GCD(2, 424) = 2

GCD of 282, 748, 204, 424 is 2

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1. What is the GCD of 282, 748, 204, 424?

GCD of 282, 748, 204, 424 is 2

2. Where do I get the detailed procedure to find GCD of 282, 748, 204, 424?

You can find a detailed procedure to find GCD of 282, 748, 204, 424 on our page.

3. How to find GCD of 282, 748, 204, 424 on a calculator?

You can find the GCD of 282, 748, 204, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.