GCD of 174, 166, 382 Calculator

Given Input numbers are 174, 166, 382

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 174, 166, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 166, 382 is 2.

Therefore, GCD of numbers 174, 166, 382 is 2

Given Input Data is 174, 166, 382

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 166 is 2 x 83

Prime Factorization of 382 is 2 x 191

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(174, 166) = 14442

GCD(174, 166) = ( 174 x 166 ) / 14442

GCD(174, 166) = 28884 / 14442

GCD(174, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

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

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

GCD of 174, 166, 382 is 2

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1. What is the GCD of 174, 166, 382?

GCD of 174, 166, 382 is 2

2. Where do I get the detailed procedure to find GCD of 174, 166, 382?

You can find a detailed procedure to find GCD of 174, 166, 382 on our page.

3. How to find GCD of 174, 166, 382 on a calculator?

You can find the GCD of 174, 166, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.