GCD of 282, 825, 12, 497 Calculator

Given Input numbers are 282, 825, 12, 497

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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 282, 825, 12, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 825, 12, 497 is 1.

Therefore, GCD of numbers 282, 825, 12, 497 is 1

Given Input Data is 282, 825, 12, 497

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 825 is 3 x 5 x 5 x 11

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 497 is 7 x 71

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, 825) = 77550

GCD(282, 825) = ( 282 x 825 ) / 77550

GCD(282, 825) = 232650 / 77550

GCD(282, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 12

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

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

GCD(3, 12) = 36 / 12

GCD(3, 12) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 497

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

LCM(3, 497) = 1491

GCD(3, 497) = ( 3 x 497 ) / 1491

GCD(3, 497) = 1491 / 1491

GCD(3, 497) = 1

GCD of 282, 825, 12, 497 is 1

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• GCD of 479, 264, 62, 439
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1. What is the GCD of 282, 825, 12, 497?

GCD of 282, 825, 12, 497 is 1

2. Where do I get the detailed procedure to find GCD of 282, 825, 12, 497?

You can find a detailed procedure to find GCD of 282, 825, 12, 497 on our page.

3. How to find GCD of 282, 825, 12, 497 on a calculator?

You can find the GCD of 282, 825, 12, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.