GCD of 728, 882, 12, 213 Calculator

Given Input numbers are 728, 882, 12, 213

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 728, 882, 12, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 882, 12, 213 is 1.

Therefore, GCD of numbers 728, 882, 12, 213 is 1

Given Input Data is 728, 882, 12, 213

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 213 is 3 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(728, 882) = 45864

GCD(728, 882) = ( 728 x 882 ) / 45864

GCD(728, 882) = 642096 / 45864

GCD(728, 882) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 12

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

LCM(14, 12) = 84

GCD(14, 12) = ( 14 x 12 ) / 84

GCD(14, 12) = 168 / 84

GCD(14, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 213

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

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

GCD(2, 213) = 426 / 426

GCD(2, 213) = 1

GCD of 728, 882, 12, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 978, 57, 857
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• GCD of 351, 102, 33, 231
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• GCD of 316, 367, 63, 736

1. What is the GCD of 728, 882, 12, 213?

GCD of 728, 882, 12, 213 is 1

2. Where do I get the detailed procedure to find GCD of 728, 882, 12, 213?

You can find a detailed procedure to find GCD of 728, 882, 12, 213 on our page.

3. How to find GCD of 728, 882, 12, 213 on a calculator?

You can find the GCD of 728, 882, 12, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.