GCD of 678, 819, 71, 392 Calculator

Given Input numbers are 678, 819, 71, 392

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 678, 819, 71, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 819, 71, 392 is 1.

Therefore, GCD of numbers 678, 819, 71, 392 is 1

Given Input Data is 678, 819, 71, 392

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

Prime Factorization of 678 is 2 x 3 x 113

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

Prime Factorization of 71 is 71

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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(678, 819) = 185094

GCD(678, 819) = ( 678 x 819 ) / 185094

GCD(678, 819) = 555282 / 185094

GCD(678, 819) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 678, 819, 71, 392 is 1

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1. What is the GCD of 678, 819, 71, 392?

GCD of 678, 819, 71, 392 is 1

2. Where do I get the detailed procedure to find GCD of 678, 819, 71, 392?

You can find a detailed procedure to find GCD of 678, 819, 71, 392 on our page.

3. How to find GCD of 678, 819, 71, 392 on a calculator?

You can find the GCD of 678, 819, 71, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.