GCD of 399, 314, 214, 599 Calculator

Given Input numbers are 399, 314, 214, 599

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 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Greatest Common Divisior

We found the divisors of 399, 314, 214, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 314, 214, 599 is 1.

Therefore, GCD of numbers 399, 314, 214, 599 is 1

Given Input Data is 399, 314, 214, 599

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 314 is 2 x 157

Prime Factorization of 214 is 2 x 107

Prime Factorization of 599 is 599

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, 314) = 125286

GCD(399, 314) = ( 399 x 314 ) / 125286

GCD(399, 314) = 125286 / 125286

GCD(399, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 599

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

LCM(1, 599) = 599

GCD(1, 599) = ( 1 x 599 ) / 599

GCD(1, 599) = 599 / 599

GCD(1, 599) = 1

GCD of 399, 314, 214, 599 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 877, 310, 688
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1. What is the GCD of 399, 314, 214, 599?

GCD of 399, 314, 214, 599 is 1

2. Where do I get the detailed procedure to find GCD of 399, 314, 214, 599?

You can find a detailed procedure to find GCD of 399, 314, 214, 599 on our page.

3. How to find GCD of 399, 314, 214, 599 on a calculator?

You can find the GCD of 399, 314, 214, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.