GCD of 407, 847, 339, 589 Calculator

Given Input numbers are 407, 847, 339, 589

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 407, 847, 339, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 847, 339, 589 is 1.

Therefore, GCD of numbers 407, 847, 339, 589 is 1

Given Input Data is 407, 847, 339, 589

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 339 is 3 x 113

Prime Factorization of 589 is 19 x 31

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(407, 847) = 31339

GCD(407, 847) = ( 407 x 847 ) / 31339

GCD(407, 847) = 344729 / 31339

GCD(407, 847) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 339

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

LCM(11, 339) = 3729

GCD(11, 339) = ( 11 x 339 ) / 3729

GCD(11, 339) = 3729 / 3729

GCD(11, 339) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 407, 847, 339, 589 is 1

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1. What is the GCD of 407, 847, 339, 589?

GCD of 407, 847, 339, 589 is 1

2. Where do I get the detailed procedure to find GCD of 407, 847, 339, 589?

You can find a detailed procedure to find GCD of 407, 847, 339, 589 on our page.

3. How to find GCD of 407, 847, 339, 589 on a calculator?

You can find the GCD of 407, 847, 339, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.