GCD of 398, 609, 46, 367 Calculator

Given Input numbers are 398, 609, 46, 367

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

Divisors of 398

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

1, 2, 199, 398

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 398, 609, 46, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 609, 46, 367 is 1.

Therefore, GCD of numbers 398, 609, 46, 367 is 1

Given Input Data is 398, 609, 46, 367

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 46 is 2 x 23

Prime Factorization of 367 is 367

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(398, 609) = 242382

GCD(398, 609) = ( 398 x 609 ) / 242382

GCD(398, 609) = 242382 / 242382

GCD(398, 609) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 398, 609, 46, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 417, 30, 710
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• GCD of 843, 249, 22, 487
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• GCD of 137, 719, 24, 662

1. What is the GCD of 398, 609, 46, 367?

GCD of 398, 609, 46, 367 is 1

2. Where do I get the detailed procedure to find GCD of 398, 609, 46, 367?

You can find a detailed procedure to find GCD of 398, 609, 46, 367 on our page.

3. How to find GCD of 398, 609, 46, 367 on a calculator?

You can find the GCD of 398, 609, 46, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.