GCD of 873, 744, 17, 842 Calculator

Given Input numbers are 873, 744, 17, 842

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

Divisors of 873

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

1, 3, 9, 97, 291, 873

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 842

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

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 873, 744, 17, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 744, 17, 842 is 1.

Therefore, GCD of numbers 873, 744, 17, 842 is 1

Given Input Data is 873, 744, 17, 842

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

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 17 is 17

Prime Factorization of 842 is 2 x 421

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(873, 744) = 216504

GCD(873, 744) = ( 873 x 744 ) / 216504

GCD(873, 744) = 649512 / 216504

GCD(873, 744) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 873, 744, 17, 842 is 1

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1. What is the GCD of 873, 744, 17, 842?

GCD of 873, 744, 17, 842 is 1

2. Where do I get the detailed procedure to find GCD of 873, 744, 17, 842?

You can find a detailed procedure to find GCD of 873, 744, 17, 842 on our page.

3. How to find GCD of 873, 744, 17, 842 on a calculator?

You can find the GCD of 873, 744, 17, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.