GCD of 399, 424, 821, 598 Calculator

Given Input numbers are 399, 424, 821, 598

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 399, 424, 821, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 424, 821, 598 is 1.

Therefore, GCD of numbers 399, 424, 821, 598 is 1

Given Input Data is 399, 424, 821, 598

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 821 is 821

Prime Factorization of 598 is 2 x 13 x 23

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(399, 424) = 169176

GCD(399, 424) = ( 399 x 424 ) / 169176

GCD(399, 424) = 169176 / 169176

GCD(399, 424) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 399, 424, 821, 598 is 1

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1. What is the GCD of 399, 424, 821, 598?

GCD of 399, 424, 821, 598 is 1

2. Where do I get the detailed procedure to find GCD of 399, 424, 821, 598?

You can find a detailed procedure to find GCD of 399, 424, 821, 598 on our page.

3. How to find GCD of 399, 424, 821, 598 on a calculator?

You can find the GCD of 399, 424, 821, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.