GCD of 326, 336, 144, 192 Calculator

Given Input numbers are 326, 336, 144, 192

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

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Greatest Common Divisior

We found the divisors of 326, 336, 144, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 336, 144, 192 is 2.

Therefore, GCD of numbers 326, 336, 144, 192 is 2

Given Input Data is 326, 336, 144, 192

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

Prime Factorization of 326 is 2 x 163

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(326, 336) = 54768

GCD(326, 336) = ( 326 x 336 ) / 54768

GCD(326, 336) = 109536 / 54768

GCD(326, 336) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 192

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

LCM(2, 192) = 192

GCD(2, 192) = ( 2 x 192 ) / 192

GCD(2, 192) = 384 / 192

GCD(2, 192) = 2

GCD of 326, 336, 144, 192 is 2

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1. What is the GCD of 326, 336, 144, 192?

GCD of 326, 336, 144, 192 is 2

2. Where do I get the detailed procedure to find GCD of 326, 336, 144, 192?

You can find a detailed procedure to find GCD of 326, 336, 144, 192 on our page.

3. How to find GCD of 326, 336, 144, 192 on a calculator?

You can find the GCD of 326, 336, 144, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.