GCD of 819, 689, 421 Calculator

Given Input numbers are 819, 689, 421

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 819, 689, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 689, 421 is 1.

Therefore, GCD of numbers 819, 689, 421 is 1

Given Input Data is 819, 689, 421

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 689 is 13 x 53

Prime Factorization of 421 is 421

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, 689) = 43407

GCD(819, 689) = ( 819 x 689 ) / 43407

GCD(819, 689) = 564291 / 43407

GCD(819, 689) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 421

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

LCM(13, 421) = 5473

GCD(13, 421) = ( 13 x 421 ) / 5473

GCD(13, 421) = 5473 / 5473

GCD(13, 421) = 1

GCD of 819, 689, 421 is 1

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• GCD of 231, 882, 840
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1. What is the GCD of 819, 689, 421?

GCD of 819, 689, 421 is 1

2. Where do I get the detailed procedure to find GCD of 819, 689, 421?

You can find a detailed procedure to find GCD of 819, 689, 421 on our page.

3. How to find GCD of 819, 689, 421 on a calculator?

You can find the GCD of 819, 689, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.