GCD of 343, 393, 819, 842 Calculator

Given Input numbers are 343, 393, 819, 842

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 343, 393, 819, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 393, 819, 842 is 1.

Therefore, GCD of numbers 343, 393, 819, 842 is 1

Given Input Data is 343, 393, 819, 842

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 393 is 3 x 131

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

Prime Factorization of 842 is 2 x 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(343, 393) = 134799

GCD(343, 393) = ( 343 x 393 ) / 134799

GCD(343, 393) = 134799 / 134799

GCD(343, 393) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 343, 393, 819, 842 is 1

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1. What is the GCD of 343, 393, 819, 842?

GCD of 343, 393, 819, 842 is 1

2. Where do I get the detailed procedure to find GCD of 343, 393, 819, 842?

You can find a detailed procedure to find GCD of 343, 393, 819, 842 on our page.

3. How to find GCD of 343, 393, 819, 842 on a calculator?

You can find the GCD of 343, 393, 819, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.