GCD of 387, 576, 41, 847 Calculator

Given Input numbers are 387, 576, 41, 847

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Greatest Common Divisior

We found the divisors of 387, 576, 41, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 576, 41, 847 is 1.

Therefore, GCD of numbers 387, 576, 41, 847 is 1

Given Input Data is 387, 576, 41, 847

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

Prime Factorization of 387 is 3 x 3 x 43

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

Prime Factorization of 41 is 41

Prime Factorization of 847 is 7 x 11 x 11

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(387, 576) = 24768

GCD(387, 576) = ( 387 x 576 ) / 24768

GCD(387, 576) = 222912 / 24768

GCD(387, 576) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 41

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

LCM(9, 41) = 369

GCD(9, 41) = ( 9 x 41 ) / 369

GCD(9, 41) = 369 / 369

GCD(9, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 847

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

LCM(1, 847) = 847

GCD(1, 847) = ( 1 x 847 ) / 847

GCD(1, 847) = 847 / 847

GCD(1, 847) = 1

GCD of 387, 576, 41, 847 is 1

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1. What is the GCD of 387, 576, 41, 847?

GCD of 387, 576, 41, 847 is 1

2. Where do I get the detailed procedure to find GCD of 387, 576, 41, 847?

You can find a detailed procedure to find GCD of 387, 576, 41, 847 on our page.

3. How to find GCD of 387, 576, 41, 847 on a calculator?

You can find the GCD of 387, 576, 41, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.