GCD of 104, 138, 110, 873 Calculator

Given Input numbers are 104, 138, 110, 873

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 104, 138, 110, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 138, 110, 873 is 1.

Therefore, GCD of numbers 104, 138, 110, 873 is 1

Given Input Data is 104, 138, 110, 873

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 873 is 3 x 3 x 97

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(104, 138) = 7176

GCD(104, 138) = ( 104 x 138 ) / 7176

GCD(104, 138) = 14352 / 7176

GCD(104, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 873

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

LCM(2, 873) = 1746

GCD(2, 873) = ( 2 x 873 ) / 1746

GCD(2, 873) = 1746 / 1746

GCD(2, 873) = 1

GCD of 104, 138, 110, 873 is 1

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1. What is the GCD of 104, 138, 110, 873?

GCD of 104, 138, 110, 873 is 1

2. Where do I get the detailed procedure to find GCD of 104, 138, 110, 873?

You can find a detailed procedure to find GCD of 104, 138, 110, 873 on our page.

3. How to find GCD of 104, 138, 110, 873 on a calculator?

You can find the GCD of 104, 138, 110, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.