GCD of 346, 174, 288 Calculator

Given Input numbers are 346, 174, 288

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

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 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 346, 174, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 174, 288 is 2.

Therefore, GCD of numbers 346, 174, 288 is 2

Given Input Data is 346, 174, 288

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(346, 174) = 30102

GCD(346, 174) = ( 346 x 174 ) / 30102

GCD(346, 174) = 60204 / 30102

GCD(346, 174) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 288

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

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

GCD(2, 288) = 576 / 288

GCD(2, 288) = 2

GCD of 346, 174, 288 is 2

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1. What is the GCD of 346, 174, 288?

GCD of 346, 174, 288 is 2

2. Where do I get the detailed procedure to find GCD of 346, 174, 288?

You can find a detailed procedure to find GCD of 346, 174, 288 on our page.

3. How to find GCD of 346, 174, 288 on a calculator?

You can find the GCD of 346, 174, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.