GCD of 446, 228, 72, 189 Calculator

Given Input numbers are 446, 228, 72, 189

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 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 446, 228, 72, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 228, 72, 189 is 1.

Therefore, GCD of numbers 446, 228, 72, 189 is 1

Given Input Data is 446, 228, 72, 189

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 189 is 3 x 3 x 3 x 7

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, 228) = 50844

GCD(446, 228) = ( 446 x 228 ) / 50844

GCD(446, 228) = 101688 / 50844

GCD(446, 228) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 189

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

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

GCD(2, 189) = 378 / 378

GCD(2, 189) = 1

GCD of 446, 228, 72, 189 is 1

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• GCD of 585, 724, 10, 150
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• GCD of 189, 335, 82, 445
• GCD of 885, 572, 30, 137

1. What is the GCD of 446, 228, 72, 189?

GCD of 446, 228, 72, 189 is 1

2. Where do I get the detailed procedure to find GCD of 446, 228, 72, 189?

You can find a detailed procedure to find GCD of 446, 228, 72, 189 on our page.

3. How to find GCD of 446, 228, 72, 189 on a calculator?

You can find the GCD of 446, 228, 72, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.