GCD of 819, 465, 27, 733 Calculator

Given Input numbers are 819, 465, 27, 733

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 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 819, 465, 27, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 465, 27, 733 is 1.

Therefore, GCD of numbers 819, 465, 27, 733 is 1

Given Input Data is 819, 465, 27, 733

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 465 is 3 x 5 x 31

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 733 is 733

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(819, 465) = 126945

GCD(819, 465) = ( 819 x 465 ) / 126945

GCD(819, 465) = 380835 / 126945

GCD(819, 465) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

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

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 733

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

LCM(3, 733) = 2199

GCD(3, 733) = ( 3 x 733 ) / 2199

GCD(3, 733) = 2199 / 2199

GCD(3, 733) = 1

GCD of 819, 465, 27, 733 is 1

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1. What is the GCD of 819, 465, 27, 733?

GCD of 819, 465, 27, 733 is 1

2. Where do I get the detailed procedure to find GCD of 819, 465, 27, 733?

You can find a detailed procedure to find GCD of 819, 465, 27, 733 on our page.

3. How to find GCD of 819, 465, 27, 733 on a calculator?

You can find the GCD of 819, 465, 27, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.