GCD of 819, 704, 341, 487 Calculator

Given Input numbers are 819, 704, 341, 487

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 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Greatest Common Divisior

We found the divisors of 819, 704, 341, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 704, 341, 487 is 1.

Therefore, GCD of numbers 819, 704, 341, 487 is 1

Given Input Data is 819, 704, 341, 487

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 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 341 is 11 x 31

Prime Factorization of 487 is 487

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, 704) = 576576

GCD(819, 704) = ( 819 x 704 ) / 576576

GCD(819, 704) = 576576 / 576576

GCD(819, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 487

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

LCM(1, 487) = 487

GCD(1, 487) = ( 1 x 487 ) / 487

GCD(1, 487) = 487 / 487

GCD(1, 487) = 1

GCD of 819, 704, 341, 487 is 1

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• GCD of 321, 493, 750, 629
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1. What is the GCD of 819, 704, 341, 487?

GCD of 819, 704, 341, 487 is 1

2. Where do I get the detailed procedure to find GCD of 819, 704, 341, 487?

You can find a detailed procedure to find GCD of 819, 704, 341, 487 on our page.

3. How to find GCD of 819, 704, 341, 487 on a calculator?

You can find the GCD of 819, 704, 341, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.