GCD of 683, 354, 107, 819 Calculator

Given Input numbers are 683, 354, 107, 819

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

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

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

Greatest Common Divisior

We found the divisors of 683, 354, 107, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 354, 107, 819 is 1.

Therefore, GCD of numbers 683, 354, 107, 819 is 1

Given Input Data is 683, 354, 107, 819

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

Prime Factorization of 683 is 683

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 107 is 107

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

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(683, 354) = 241782

GCD(683, 354) = ( 683 x 354 ) / 241782

GCD(683, 354) = 241782 / 241782

GCD(683, 354) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

Step3:

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

GCD of 683, 354, 107, 819 is 1

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1. What is the GCD of 683, 354, 107, 819?

GCD of 683, 354, 107, 819 is 1

2. Where do I get the detailed procedure to find GCD of 683, 354, 107, 819?

You can find a detailed procedure to find GCD of 683, 354, 107, 819 on our page.

3. How to find GCD of 683, 354, 107, 819 on a calculator?

You can find the GCD of 683, 354, 107, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.