GCD of 329, 398, 23, 417 Calculator

Given Input numbers are 329, 398, 23, 417

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

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 398

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

1, 2, 199, 398

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 329, 398, 23, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 398, 23, 417 is 1.

Therefore, GCD of numbers 329, 398, 23, 417 is 1

Given Input Data is 329, 398, 23, 417

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

Prime Factorization of 329 is 7 x 47

Prime Factorization of 398 is 2 x 199

Prime Factorization of 23 is 23

Prime Factorization of 417 is 3 x 139

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(329, 398) = 130942

GCD(329, 398) = ( 329 x 398 ) / 130942

GCD(329, 398) = 130942 / 130942

GCD(329, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 417

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

LCM(1, 417) = 417

GCD(1, 417) = ( 1 x 417 ) / 417

GCD(1, 417) = 417 / 417

GCD(1, 417) = 1

GCD of 329, 398, 23, 417 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 534, 89, 823
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• GCD of 466, 806, 80, 323

1. What is the GCD of 329, 398, 23, 417?

GCD of 329, 398, 23, 417 is 1

2. Where do I get the detailed procedure to find GCD of 329, 398, 23, 417?

You can find a detailed procedure to find GCD of 329, 398, 23, 417 on our page.

3. How to find GCD of 329, 398, 23, 417 on a calculator?

You can find the GCD of 329, 398, 23, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.