GCD of 112, 768, 784, 391 Calculator

Given Input numbers are 112, 768, 784, 391

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 112, 768, 784, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 768, 784, 391 is 1.

Therefore, GCD of numbers 112, 768, 784, 391 is 1

Given Input Data is 112, 768, 784, 391

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 391 is 17 x 23

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(112, 768) = 5376

GCD(112, 768) = ( 112 x 768 ) / 5376

GCD(112, 768) = 86016 / 5376

GCD(112, 768) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 784

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

LCM(16, 784) = 784

GCD(16, 784) = ( 16 x 784 ) / 784

GCD(16, 784) = 12544 / 784

GCD(16, 784) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 391

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

LCM(16, 391) = 6256

GCD(16, 391) = ( 16 x 391 ) / 6256

GCD(16, 391) = 6256 / 6256

GCD(16, 391) = 1

GCD of 112, 768, 784, 391 is 1

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1. What is the GCD of 112, 768, 784, 391?

GCD of 112, 768, 784, 391 is 1

2. Where do I get the detailed procedure to find GCD of 112, 768, 784, 391?

You can find a detailed procedure to find GCD of 112, 768, 784, 391 on our page.

3. How to find GCD of 112, 768, 784, 391 on a calculator?

You can find the GCD of 112, 768, 784, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.