GCD of 282, 524, 38, 331 Calculator

Given Input numbers are 282, 524, 38, 331

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 282, 524, 38, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 524, 38, 331 is 1.

Therefore, GCD of numbers 282, 524, 38, 331 is 1

Given Input Data is 282, 524, 38, 331

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 524 is 2 x 2 x 131

Prime Factorization of 38 is 2 x 19

Prime Factorization of 331 is 331

The above numbers do not have any common prime factor. So GCD is 1

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, 524) = 73884

GCD(282, 524) = ( 282 x 524 ) / 73884

GCD(282, 524) = 147768 / 73884

GCD(282, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 331

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

LCM(2, 331) = 662

GCD(2, 331) = ( 2 x 331 ) / 662

GCD(2, 331) = 662 / 662

GCD(2, 331) = 1

GCD of 282, 524, 38, 331 is 1

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• GCD of 445, 894, 76, 490
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1. What is the GCD of 282, 524, 38, 331?

GCD of 282, 524, 38, 331 is 1

2. Where do I get the detailed procedure to find GCD of 282, 524, 38, 331?

You can find a detailed procedure to find GCD of 282, 524, 38, 331 on our page.

3. How to find GCD of 282, 524, 38, 331 on a calculator?

You can find the GCD of 282, 524, 38, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.