GCD of 408, 291, 33, 328 Calculator

Given Input numbers are 408, 291, 33, 328

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 328

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

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

Greatest Common Divisior

We found the divisors of 408, 291, 33, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 291, 33, 328 is 1.

Therefore, GCD of numbers 408, 291, 33, 328 is 1

Given Input Data is 408, 291, 33, 328

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 291 is 3 x 97

Prime Factorization of 33 is 3 x 11

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

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(408, 291) = 39576

GCD(408, 291) = ( 408 x 291 ) / 39576

GCD(408, 291) = 118728 / 39576

GCD(408, 291) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 33

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

LCM(3, 33) = 33

GCD(3, 33) = ( 3 x 33 ) / 33

GCD(3, 33) = 99 / 33

GCD(3, 33) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 328

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

LCM(3, 328) = 984

GCD(3, 328) = ( 3 x 328 ) / 984

GCD(3, 328) = 984 / 984

GCD(3, 328) = 1

GCD of 408, 291, 33, 328 is 1

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• GCD of 414, 628, 66, 188
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1. What is the GCD of 408, 291, 33, 328?

GCD of 408, 291, 33, 328 is 1

2. Where do I get the detailed procedure to find GCD of 408, 291, 33, 328?

You can find a detailed procedure to find GCD of 408, 291, 33, 328 on our page.

3. How to find GCD of 408, 291, 33, 328 on a calculator?

You can find the GCD of 408, 291, 33, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.