GCD of 446, 176, 227, 628 Calculator

Given Input numbers are 446, 176, 227, 628

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

Divisors of 446

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

1, 2, 223, 446

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 227

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

1, 227

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 446, 176, 227, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 176, 227, 628 is 1.

Therefore, GCD of numbers 446, 176, 227, 628 is 1

Given Input Data is 446, 176, 227, 628

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 227 is 227

Prime Factorization of 628 is 2 x 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(446, 176) = 39248

GCD(446, 176) = ( 446 x 176 ) / 39248

GCD(446, 176) = 78496 / 39248

GCD(446, 176) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 227

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

LCM(2, 227) = 454

GCD(2, 227) = ( 2 x 227 ) / 454

GCD(2, 227) = 454 / 454

GCD(2, 227) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 446, 176, 227, 628 is 1

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1. What is the GCD of 446, 176, 227, 628?

GCD of 446, 176, 227, 628 is 1

2. Where do I get the detailed procedure to find GCD of 446, 176, 227, 628?

You can find a detailed procedure to find GCD of 446, 176, 227, 628 on our page.

3. How to find GCD of 446, 176, 227, 628 on a calculator?

You can find the GCD of 446, 176, 227, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.