GCD of 112, 102, 192, 794 Calculator

Given Input numbers are 112, 102, 192, 794

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 112, 102, 192, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 102, 192, 794 is 2.

Therefore, GCD of numbers 112, 102, 192, 794 is 2

Given Input Data is 112, 102, 192, 794

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 102 is 2 x 3 x 17

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 794 is 2 x 397

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 102) = 5712

GCD(112, 102) = ( 112 x 102 ) / 5712

GCD(112, 102) = 11424 / 5712

GCD(112, 102) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 192

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

LCM(2, 192) = 192

GCD(2, 192) = ( 2 x 192 ) / 192

GCD(2, 192) = 384 / 192

GCD(2, 192) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 794

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

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

GCD(2, 794) = 1588 / 794

GCD(2, 794) = 2

GCD of 112, 102, 192, 794 is 2

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1. What is the GCD of 112, 102, 192, 794?

GCD of 112, 102, 192, 794 is 2

2. Where do I get the detailed procedure to find GCD of 112, 102, 192, 794?

You can find a detailed procedure to find GCD of 112, 102, 192, 794 on our page.

3. How to find GCD of 112, 102, 192, 794 on a calculator?

You can find the GCD of 112, 102, 192, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.