GCD of 312, 288, 11, 678 Calculator

Given Input numbers are 312, 288, 11, 678

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 288

List of positive integer divisors of 288 that divides 288 without a remainder.

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 312, 288, 11, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 288, 11, 678 is 1.

Therefore, GCD of numbers 312, 288, 11, 678 is 1

Given Input Data is 312, 288, 11, 678

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 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 11 is 11

Prime Factorization of 678 is 2 x 3 x 113

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, 288) = 3744

GCD(312, 288) = ( 312 x 288 ) / 3744

GCD(312, 288) = 89856 / 3744

GCD(312, 288) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 11

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

LCM(24, 11) = 264

GCD(24, 11) = ( 24 x 11 ) / 264

GCD(24, 11) = 264 / 264

GCD(24, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 312, 288, 11, 678 is 1

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1. What is the GCD of 312, 288, 11, 678?

GCD of 312, 288, 11, 678 is 1

2. Where do I get the detailed procedure to find GCD of 312, 288, 11, 678?

You can find a detailed procedure to find GCD of 312, 288, 11, 678 on our page.

3. How to find GCD of 312, 288, 11, 678 on a calculator?

You can find the GCD of 312, 288, 11, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.