GCD of 487, 428, 414, 339 Calculator

Given Input numbers are 487, 428, 414, 339

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

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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

Divisors of 339

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

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 487, 428, 414, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 428, 414, 339 is 1.

Therefore, GCD of numbers 487, 428, 414, 339 is 1

Given Input Data is 487, 428, 414, 339

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

Prime Factorization of 487 is 487

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 339 is 3 x 113

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(487, 428) = 208436

GCD(487, 428) = ( 487 x 428 ) / 208436

GCD(487, 428) = 208436 / 208436

GCD(487, 428) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 487, 428, 414, 339 is 1

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1. What is the GCD of 487, 428, 414, 339?

GCD of 487, 428, 414, 339 is 1

2. Where do I get the detailed procedure to find GCD of 487, 428, 414, 339?

You can find a detailed procedure to find GCD of 487, 428, 414, 339 on our page.

3. How to find GCD of 487, 428, 414, 339 on a calculator?

You can find the GCD of 487, 428, 414, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.