GCD of 864, 186, 230, 671 Calculator

Given Input numbers are 864, 186, 230, 671

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Greatest Common Divisior

We found the divisors of 864, 186, 230, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 186, 230, 671 is 1.

Therefore, GCD of numbers 864, 186, 230, 671 is 1

Given Input Data is 864, 186, 230, 671

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 671 is 11 x 61

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(864, 186) = 26784

GCD(864, 186) = ( 864 x 186 ) / 26784

GCD(864, 186) = 160704 / 26784

GCD(864, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 230

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

LCM(6, 230) = 690

GCD(6, 230) = ( 6 x 230 ) / 690

GCD(6, 230) = 1380 / 690

GCD(6, 230) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 671

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

LCM(2, 671) = 1342

GCD(2, 671) = ( 2 x 671 ) / 1342

GCD(2, 671) = 1342 / 1342

GCD(2, 671) = 1

GCD of 864, 186, 230, 671 is 1

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1. What is the GCD of 864, 186, 230, 671?

GCD of 864, 186, 230, 671 is 1

2. Where do I get the detailed procedure to find GCD of 864, 186, 230, 671?

You can find a detailed procedure to find GCD of 864, 186, 230, 671 on our page.

3. How to find GCD of 864, 186, 230, 671 on a calculator?

You can find the GCD of 864, 186, 230, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.