GCD of 184, 806, 172, 742 Calculator

Given Input numbers are 184, 806, 172, 742

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 184, 806, 172, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 806, 172, 742 is 2.

Therefore, GCD of numbers 184, 806, 172, 742 is 2

Given Input Data is 184, 806, 172, 742

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 742 is 2 x 7 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(184, 806) = 74152

GCD(184, 806) = ( 184 x 806 ) / 74152

GCD(184, 806) = 148304 / 74152

GCD(184, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

GCD of 184, 806, 172, 742 is 2

Here are some samples of GCD of Numbers calculations.

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• GCD of 470, 328, 787, 360

1. What is the GCD of 184, 806, 172, 742?

GCD of 184, 806, 172, 742 is 2

2. Where do I get the detailed procedure to find GCD of 184, 806, 172, 742?

You can find a detailed procedure to find GCD of 184, 806, 172, 742 on our page.

3. How to find GCD of 184, 806, 172, 742 on a calculator?

You can find the GCD of 184, 806, 172, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.