GCD of 819, 470, 344, 994 Calculator

Given Input numbers are 819, 470, 344, 994

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 819, 470, 344, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 470, 344, 994 is 1.

Therefore, GCD of numbers 819, 470, 344, 994 is 1

Given Input Data is 819, 470, 344, 994

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 470 is 2 x 5 x 47

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 994 is 2 x 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(819, 470) = 384930

GCD(819, 470) = ( 819 x 470 ) / 384930

GCD(819, 470) = 384930 / 384930

GCD(819, 470) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 819, 470, 344, 994 is 1

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1. What is the GCD of 819, 470, 344, 994?

GCD of 819, 470, 344, 994 is 1

2. Where do I get the detailed procedure to find GCD of 819, 470, 344, 994?

You can find a detailed procedure to find GCD of 819, 470, 344, 994 on our page.

3. How to find GCD of 819, 470, 344, 994 on a calculator?

You can find the GCD of 819, 470, 344, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.