GCD of 683, 434, 988, 409 Calculator

Given Input numbers are 683, 434, 988, 409

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 683, 434, 988, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 434, 988, 409 is 1.

Therefore, GCD of numbers 683, 434, 988, 409 is 1

Given Input Data is 683, 434, 988, 409

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

Prime Factorization of 683 is 683

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 409 is 409

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, 434) = 296422

GCD(683, 434) = ( 683 x 434 ) / 296422

GCD(683, 434) = 296422 / 296422

GCD(683, 434) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 683, 434, 988, 409 is 1

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1. What is the GCD of 683, 434, 988, 409?

GCD of 683, 434, 988, 409 is 1

2. Where do I get the detailed procedure to find GCD of 683, 434, 988, 409?

You can find a detailed procedure to find GCD of 683, 434, 988, 409 on our page.

3. How to find GCD of 683, 434, 988, 409 on a calculator?

You can find the GCD of 683, 434, 988, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.