GCD of 312, 228, 864, 305 Calculator

Given Input numbers are 312, 228, 864, 305

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 312, 228, 864, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 228, 864, 305 is 1.

Therefore, GCD of numbers 312, 228, 864, 305 is 1

Given Input Data is 312, 228, 864, 305

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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

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

Prime Factorization of 305 is 5 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(312, 228) = 5928

GCD(312, 228) = ( 312 x 228 ) / 5928

GCD(312, 228) = 71136 / 5928

GCD(312, 228) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 864

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

LCM(12, 864) = 864

GCD(12, 864) = ( 12 x 864 ) / 864

GCD(12, 864) = 10368 / 864

GCD(12, 864) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 305

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

LCM(12, 305) = 3660

GCD(12, 305) = ( 12 x 305 ) / 3660

GCD(12, 305) = 3660 / 3660

GCD(12, 305) = 1

GCD of 312, 228, 864, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 796, 657, 117, 341
• GCD of 921, 583, 555, 223
• GCD of 879, 719, 338, 618
• GCD of 657, 747, 757, 938
• GCD of 210, 168, 274, 963

1. What is the GCD of 312, 228, 864, 305?

GCD of 312, 228, 864, 305 is 1

2. Where do I get the detailed procedure to find GCD of 312, 228, 864, 305?

You can find a detailed procedure to find GCD of 312, 228, 864, 305 on our page.

3. How to find GCD of 312, 228, 864, 305 on a calculator?

You can find the GCD of 312, 228, 864, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.