GCD of 392, 844, 744, 112 Calculator

Given Input numbers are 392, 844, 744, 112

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 392, 844, 744, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 844, 744, 112 is 4.

Therefore, GCD of numbers 392, 844, 744, 112 is 4

Given Input Data is 392, 844, 744, 112

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(392, 844) = 82712

GCD(392, 844) = ( 392 x 844 ) / 82712

GCD(392, 844) = 330848 / 82712

GCD(392, 844) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 744

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

LCM(4, 744) = 744

GCD(4, 744) = ( 4 x 744 ) / 744

GCD(4, 744) = 2976 / 744

GCD(4, 744) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 112

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

LCM(4, 112) = 112

GCD(4, 112) = ( 4 x 112 ) / 112

GCD(4, 112) = 448 / 112

GCD(4, 112) = 4

GCD of 392, 844, 744, 112 is 4

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1. What is the GCD of 392, 844, 744, 112?

GCD of 392, 844, 744, 112 is 4

2. Where do I get the detailed procedure to find GCD of 392, 844, 744, 112?

You can find a detailed procedure to find GCD of 392, 844, 744, 112 on our page.

3. How to find GCD of 392, 844, 744, 112 on a calculator?

You can find the GCD of 392, 844, 744, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.