GCD of 39, 559, 398, 397 Calculator

Given Input numbers are 39, 559, 398, 397

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 39, 559, 398, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 559, 398, 397 is 1.

Therefore, GCD of numbers 39, 559, 398, 397 is 1

Given Input Data is 39, 559, 398, 397

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 559 is 13 x 43

Prime Factorization of 398 is 2 x 199

Prime Factorization of 397 is 397

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(39, 559) = 1677

GCD(39, 559) = ( 39 x 559 ) / 1677

GCD(39, 559) = 21801 / 1677

GCD(39, 559) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 398

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

LCM(13, 398) = 5174

GCD(13, 398) = ( 13 x 398 ) / 5174

GCD(13, 398) = 5174 / 5174

GCD(13, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

GCD of 39, 559, 398, 397 is 1

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• GCD of 86, 141, 429, 494
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1. What is the GCD of 39, 559, 398, 397?

GCD of 39, 559, 398, 397 is 1

2. Where do I get the detailed procedure to find GCD of 39, 559, 398, 397?

You can find a detailed procedure to find GCD of 39, 559, 398, 397 on our page.

3. How to find GCD of 39, 559, 398, 397 on a calculator?

You can find the GCD of 39, 559, 398, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.