GCD of 324, 402, 363, 398 Calculator

Given Input numbers are 324, 402, 363, 398

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 398

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

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 324, 402, 363, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 402, 363, 398 is 1.

Therefore, GCD of numbers 324, 402, 363, 398 is 1

Given Input Data is 324, 402, 363, 398

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 398 is 2 x 199

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(324, 402) = 21708

GCD(324, 402) = ( 324 x 402 ) / 21708

GCD(324, 402) = 130248 / 21708

GCD(324, 402) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 363

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

LCM(6, 363) = 726

GCD(6, 363) = ( 6 x 363 ) / 726

GCD(6, 363) = 2178 / 726

GCD(6, 363) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 398

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

LCM(3, 398) = 1194

GCD(3, 398) = ( 3 x 398 ) / 1194

GCD(3, 398) = 1194 / 1194

GCD(3, 398) = 1

GCD of 324, 402, 363, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 514, 572, 799
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• GCD of 919, 856, 538, 145

1. What is the GCD of 324, 402, 363, 398?

GCD of 324, 402, 363, 398 is 1

2. Where do I get the detailed procedure to find GCD of 324, 402, 363, 398?

You can find a detailed procedure to find GCD of 324, 402, 363, 398 on our page.

3. How to find GCD of 324, 402, 363, 398 on a calculator?

You can find the GCD of 324, 402, 363, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.