GCD of 842, 138, 115 Calculator

Given Input numbers are 842, 138, 115

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 842, 138, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 138, 115 is 1.

Therefore, GCD of numbers 842, 138, 115 is 1

Given Input Data is 842, 138, 115

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 115 is 5 x 23

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(842, 138) = 58098

GCD(842, 138) = ( 842 x 138 ) / 58098

GCD(842, 138) = 116196 / 58098

GCD(842, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 115

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

LCM(2, 115) = 230

GCD(2, 115) = ( 2 x 115 ) / 230

GCD(2, 115) = 230 / 230

GCD(2, 115) = 1

GCD of 842, 138, 115 is 1

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1. What is the GCD of 842, 138, 115?

GCD of 842, 138, 115 is 1

2. Where do I get the detailed procedure to find GCD of 842, 138, 115?

You can find a detailed procedure to find GCD of 842, 138, 115 on our page.

3. How to find GCD of 842, 138, 115 on a calculator?

You can find the GCD of 842, 138, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.