GCD of 178, 589, 378 Calculator

Given Input numbers are 178, 589, 378

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 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 178, 589, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 589, 378 is 1.

Therefore, GCD of numbers 178, 589, 378 is 1

Given Input Data is 178, 589, 378

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 589 is 19 x 31

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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, 589) = 104842

GCD(178, 589) = ( 178 x 589 ) / 104842

GCD(178, 589) = 104842 / 104842

GCD(178, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 178, 589, 378 is 1

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1. What is the GCD of 178, 589, 378?

GCD of 178, 589, 378 is 1

2. Where do I get the detailed procedure to find GCD of 178, 589, 378?

You can find a detailed procedure to find GCD of 178, 589, 378 on our page.

3. How to find GCD of 178, 589, 378 on a calculator?

You can find the GCD of 178, 589, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.