GCD of 328, 738, 338, 195 Calculator

Given Input numbers are 328, 738, 338, 195

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

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 328, 738, 338, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 738, 338, 195 is 1.

Therefore, GCD of numbers 328, 738, 338, 195 is 1

Given Input Data is 328, 738, 338, 195

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

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 195 is 3 x 5 x 13

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(328, 738) = 2952

GCD(328, 738) = ( 328 x 738 ) / 2952

GCD(328, 738) = 242064 / 2952

GCD(328, 738) = 82

Step2:

Here we consider the GCD from the above i.e. 82 as first number and the next as 338

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

LCM(82, 338) = 13858

GCD(82, 338) = ( 82 x 338 ) / 13858

GCD(82, 338) = 27716 / 13858

GCD(82, 338) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 195

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

LCM(2, 195) = 390

GCD(2, 195) = ( 2 x 195 ) / 390

GCD(2, 195) = 390 / 390

GCD(2, 195) = 1

GCD of 328, 738, 338, 195 is 1

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1. What is the GCD of 328, 738, 338, 195?

GCD of 328, 738, 338, 195 is 1

2. Where do I get the detailed procedure to find GCD of 328, 738, 338, 195?

You can find a detailed procedure to find GCD of 328, 738, 338, 195 on our page.

3. How to find GCD of 328, 738, 338, 195 on a calculator?

You can find the GCD of 328, 738, 338, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.