GCD of 189, 275, 264, 447 Calculator

Given Input numbers are 189, 275, 264, 447

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

Divisors of 189

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

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

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 447

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

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 189, 275, 264, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 275, 264, 447 is 1.

Therefore, GCD of numbers 189, 275, 264, 447 is 1

Given Input Data is 189, 275, 264, 447

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

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

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 447 is 3 x 149

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(189, 275) = 51975

GCD(189, 275) = ( 189 x 275 ) / 51975

GCD(189, 275) = 51975 / 51975

GCD(189, 275) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

GCD of 189, 275, 264, 447 is 1

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1. What is the GCD of 189, 275, 264, 447?

GCD of 189, 275, 264, 447 is 1

2. Where do I get the detailed procedure to find GCD of 189, 275, 264, 447?

You can find a detailed procedure to find GCD of 189, 275, 264, 447 on our page.

3. How to find GCD of 189, 275, 264, 447 on a calculator?

You can find the GCD of 189, 275, 264, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.