GCD of 327, 446, 96, 301 Calculator

Given Input numbers are 327, 446, 96, 301

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 327, 446, 96, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 446, 96, 301 is 1.

Therefore, GCD of numbers 327, 446, 96, 301 is 1

Given Input Data is 327, 446, 96, 301

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 446 is 2 x 223

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 301 is 7 x 43

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(327, 446) = 145842

GCD(327, 446) = ( 327 x 446 ) / 145842

GCD(327, 446) = 145842 / 145842

GCD(327, 446) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 327, 446, 96, 301 is 1

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1. What is the GCD of 327, 446, 96, 301?

GCD of 327, 446, 96, 301 is 1

2. Where do I get the detailed procedure to find GCD of 327, 446, 96, 301?

You can find a detailed procedure to find GCD of 327, 446, 96, 301 on our page.

3. How to find GCD of 327, 446, 96, 301 on a calculator?

You can find the GCD of 327, 446, 96, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.