GCD of 327, 447, 995, 314 Calculator

Given Input numbers are 327, 447, 995, 314

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 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 327, 447, 995, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 447, 995, 314 is 1.

Therefore, GCD of numbers 327, 447, 995, 314 is 1

Given Input Data is 327, 447, 995, 314

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 447 is 3 x 149

Prime Factorization of 995 is 5 x 199

Prime Factorization of 314 is 2 x 157

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, 447) = 48723

GCD(327, 447) = ( 327 x 447 ) / 48723

GCD(327, 447) = 146169 / 48723

GCD(327, 447) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 995

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

LCM(3, 995) = 2985

GCD(3, 995) = ( 3 x 995 ) / 2985

GCD(3, 995) = 2985 / 2985

GCD(3, 995) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 327, 447, 995, 314 is 1

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1. What is the GCD of 327, 447, 995, 314?

GCD of 327, 447, 995, 314 is 1

2. Where do I get the detailed procedure to find GCD of 327, 447, 995, 314?

You can find a detailed procedure to find GCD of 327, 447, 995, 314 on our page.

3. How to find GCD of 327, 447, 995, 314 on a calculator?

You can find the GCD of 327, 447, 995, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.