GCD of 354, 512, 174 Calculator

Given Input numbers are 354, 512, 174

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 174

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

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

Greatest Common Divisior

We found the divisors of 354, 512, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 512, 174 is 2.

Therefore, GCD of numbers 354, 512, 174 is 2

Given Input Data is 354, 512, 174

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 174 is 2 x 3 x 29

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(354, 512) = 90624

GCD(354, 512) = ( 354 x 512 ) / 90624

GCD(354, 512) = 181248 / 90624

GCD(354, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

GCD of 354, 512, 174 is 2

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1. What is the GCD of 354, 512, 174?

GCD of 354, 512, 174 is 2

2. Where do I get the detailed procedure to find GCD of 354, 512, 174?

You can find a detailed procedure to find GCD of 354, 512, 174 on our page.

3. How to find GCD of 354, 512, 174 on a calculator?

You can find the GCD of 354, 512, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.