GCD of 178, 195, 438 Calculator

Given Input numbers are 178, 195, 438

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 178, 195, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 195, 438 is 1.

Therefore, GCD of numbers 178, 195, 438 is 1

Given Input Data is 178, 195, 438

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 438 is 2 x 3 x 73

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(178, 195) = 34710

GCD(178, 195) = ( 178 x 195 ) / 34710

GCD(178, 195) = 34710 / 34710

GCD(178, 195) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 178, 195, 438 is 1

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1. What is the GCD of 178, 195, 438?

GCD of 178, 195, 438 is 1

2. Where do I get the detailed procedure to find GCD of 178, 195, 438?

You can find a detailed procedure to find GCD of 178, 195, 438 on our page.

3. How to find GCD of 178, 195, 438 on a calculator?

You can find the GCD of 178, 195, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.