GCD of 112, 735, 191, 798 Calculator

Given Input numbers are 112, 735, 191, 798

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 112, 735, 191, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 735, 191, 798 is 1.

Therefore, GCD of numbers 112, 735, 191, 798 is 1

Given Input Data is 112, 735, 191, 798

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 735 is 3 x 5 x 7 x 7

Prime Factorization of 191 is 191

Prime Factorization of 798 is 2 x 3 x 7 x 19

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, 735) = 11760

GCD(112, 735) = ( 112 x 735 ) / 11760

GCD(112, 735) = 82320 / 11760

GCD(112, 735) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 191

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

LCM(7, 191) = 1337

GCD(7, 191) = ( 7 x 191 ) / 1337

GCD(7, 191) = 1337 / 1337

GCD(7, 191) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 112, 735, 191, 798 is 1

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1. What is the GCD of 112, 735, 191, 798?

GCD of 112, 735, 191, 798 is 1

2. Where do I get the detailed procedure to find GCD of 112, 735, 191, 798?

You can find a detailed procedure to find GCD of 112, 735, 191, 798 on our page.

3. How to find GCD of 112, 735, 191, 798 on a calculator?

You can find the GCD of 112, 735, 191, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.