GCD of 794, 295, 748, 112 Calculator

Given Input numbers are 794, 295, 748, 112

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

Divisors of 794

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

1, 2, 397, 794

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 794, 295, 748, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 295, 748, 112 is 1.

Therefore, GCD of numbers 794, 295, 748, 112 is 1

Given Input Data is 794, 295, 748, 112

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 295 is 5 x 59

Prime Factorization of 748 is 2 x 2 x 11 x 17

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

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(794, 295) = 234230

GCD(794, 295) = ( 794 x 295 ) / 234230

GCD(794, 295) = 234230 / 234230

GCD(794, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 794, 295, 748, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 866, 323, 924
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• GCD of 961, 325, 261, 158

1. What is the GCD of 794, 295, 748, 112?

GCD of 794, 295, 748, 112 is 1

2. Where do I get the detailed procedure to find GCD of 794, 295, 748, 112?

You can find a detailed procedure to find GCD of 794, 295, 748, 112 on our page.

3. How to find GCD of 794, 295, 748, 112 on a calculator?

You can find the GCD of 794, 295, 748, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.