GCD of 716, 794, 112 Calculator

Given Input numbers are 716, 794, 112

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 794

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

1, 2, 397, 794

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

Greatest Common Divisior

We found the divisors of 716, 794, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 794, 112 is 2.

Therefore, GCD of numbers 716, 794, 112 is 2

Given Input Data is 716, 794, 112

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 794 is 2 x 397

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

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(716, 794) = 284252

GCD(716, 794) = ( 716 x 794 ) / 284252

GCD(716, 794) = 568504 / 284252

GCD(716, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 112

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

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

GCD(2, 112) = 224 / 112

GCD(2, 112) = 2

GCD of 716, 794, 112 is 2

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1. What is the GCD of 716, 794, 112?

GCD of 716, 794, 112 is 2

2. Where do I get the detailed procedure to find GCD of 716, 794, 112?

You can find a detailed procedure to find GCD of 716, 794, 112 on our page.

3. How to find GCD of 716, 794, 112 on a calculator?

You can find the GCD of 716, 794, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.