GCD of 171, 797, 112 Calculator

Given Input numbers are 171, 797, 112

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

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 171, 797, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 797, 112 is 1.

Therefore, GCD of numbers 171, 797, 112 is 1

Given Input Data is 171, 797, 112

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 797 is 797

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(171, 797) = 136287

GCD(171, 797) = ( 171 x 797 ) / 136287

GCD(171, 797) = 136287 / 136287

GCD(171, 797) = 1

Step2:

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 171, 797, 112 is 1

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1. What is the GCD of 171, 797, 112?

GCD of 171, 797, 112 is 1

2. Where do I get the detailed procedure to find GCD of 171, 797, 112?

You can find a detailed procedure to find GCD of 171, 797, 112 on our page.

3. How to find GCD of 171, 797, 112 on a calculator?

You can find the GCD of 171, 797, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.