GCD of 307, 576, 170, 447 Calculator

Given Input numbers are 307, 576, 170, 447

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

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 307, 576, 170, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 576, 170, 447 is 1.

Therefore, GCD of numbers 307, 576, 170, 447 is 1

Given Input Data is 307, 576, 170, 447

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

Prime Factorization of 307 is 307

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 170 is 2 x 5 x 17

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(307, 576) = 176832

GCD(307, 576) = ( 307 x 576 ) / 176832

GCD(307, 576) = 176832 / 176832

GCD(307, 576) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 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 307, 576, 170, 447 is 1

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1. What is the GCD of 307, 576, 170, 447?

GCD of 307, 576, 170, 447 is 1

2. Where do I get the detailed procedure to find GCD of 307, 576, 170, 447?

You can find a detailed procedure to find GCD of 307, 576, 170, 447 on our page.

3. How to find GCD of 307, 576, 170, 447 on a calculator?

You can find the GCD of 307, 576, 170, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.