GCD of 819, 453, 21, 306 Calculator

Given Input numbers are 819, 453, 21, 306

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 819, 453, 21, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 453, 21, 306 is 3.

Therefore, GCD of numbers 819, 453, 21, 306 is 3

Given Input Data is 819, 453, 21, 306

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 453 is 3 x 151

Prime Factorization of 21 is 3 x 7

Prime Factorization of 306 is 2 x 3 x 3 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(819, 453) = 123669

GCD(819, 453) = ( 819 x 453 ) / 123669

GCD(819, 453) = 371007 / 123669

GCD(819, 453) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 306

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

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

GCD(3, 306) = 918 / 306

GCD(3, 306) = 3

GCD of 819, 453, 21, 306 is 3

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• GCD of 210, 744, 31, 210
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1. What is the GCD of 819, 453, 21, 306?

GCD of 819, 453, 21, 306 is 3

2. Where do I get the detailed procedure to find GCD of 819, 453, 21, 306?

You can find a detailed procedure to find GCD of 819, 453, 21, 306 on our page.

3. How to find GCD of 819, 453, 21, 306 on a calculator?

You can find the GCD of 819, 453, 21, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.