GCD of 339, 413, 414 Calculator

Given Input numbers are 339, 413, 414

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

Divisors of 339

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

1, 3, 113, 339

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 339, 413, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 413, 414 is 1.

Therefore, GCD of numbers 339, 413, 414 is 1

Given Input Data is 339, 413, 414

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

Prime Factorization of 339 is 3 x 113

Prime Factorization of 413 is 7 x 59

Prime Factorization of 414 is 2 x 3 x 3 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(339, 413) = 140007

GCD(339, 413) = ( 339 x 413 ) / 140007

GCD(339, 413) = 140007 / 140007

GCD(339, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 339, 413, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 442, 147
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• GCD of 966, 195, 326
• GCD of 391, 255, 881
• GCD of 113, 342, 480

1. What is the GCD of 339, 413, 414?

GCD of 339, 413, 414 is 1

2. Where do I get the detailed procedure to find GCD of 339, 413, 414?

You can find a detailed procedure to find GCD of 339, 413, 414 on our page.

3. How to find GCD of 339, 413, 414 on a calculator?

You can find the GCD of 339, 413, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.