GCD of 322, 145, 16, 227 Calculator

Given Input numbers are 322, 145, 16, 227

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Greatest Common Divisior

We found the divisors of 322, 145, 16, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 145, 16, 227 is 1.

Therefore, GCD of numbers 322, 145, 16, 227 is 1

Given Input Data is 322, 145, 16, 227

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 145 is 5 x 29

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 227 is 227

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(322, 145) = 46690

GCD(322, 145) = ( 322 x 145 ) / 46690

GCD(322, 145) = 46690 / 46690

GCD(322, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

GCD of 322, 145, 16, 227 is 1

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1. What is the GCD of 322, 145, 16, 227?

GCD of 322, 145, 16, 227 is 1

2. Where do I get the detailed procedure to find GCD of 322, 145, 16, 227?

You can find a detailed procedure to find GCD of 322, 145, 16, 227 on our page.

3. How to find GCD of 322, 145, 16, 227 on a calculator?

You can find the GCD of 322, 145, 16, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.