GCD of 105, 873, 123 Calculator

Given Input numbers are 105, 873, 123

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 873

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

1, 3, 9, 97, 291, 873

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 105, 873, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 873, 123 is 3.

Therefore, GCD of numbers 105, 873, 123 is 3

Given Input Data is 105, 873, 123

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 123 is 3 x 41

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(105, 873) = 30555

GCD(105, 873) = ( 105 x 873 ) / 30555

GCD(105, 873) = 91665 / 30555

GCD(105, 873) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 123

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

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

GCD(3, 123) = 369 / 123

GCD(3, 123) = 3

GCD of 105, 873, 123 is 3

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1. What is the GCD of 105, 873, 123?

GCD of 105, 873, 123 is 3

2. Where do I get the detailed procedure to find GCD of 105, 873, 123?

You can find a detailed procedure to find GCD of 105, 873, 123 on our page.

3. How to find GCD of 105, 873, 123 on a calculator?

You can find the GCD of 105, 873, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.