GCD of 321, 177, 189 Calculator

Given Input numbers are 321, 177, 189

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 321, 177, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 177, 189 is 3.

Therefore, GCD of numbers 321, 177, 189 is 3

Given Input Data is 321, 177, 189

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 177 is 3 x 59

Prime Factorization of 189 is 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(321, 177) = 18939

GCD(321, 177) = ( 321 x 177 ) / 18939

GCD(321, 177) = 56817 / 18939

GCD(321, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 189

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

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

GCD(3, 189) = 567 / 189

GCD(3, 189) = 3

GCD of 321, 177, 189 is 3

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1. What is the GCD of 321, 177, 189?

GCD of 321, 177, 189 is 3

2. Where do I get the detailed procedure to find GCD of 321, 177, 189?

You can find a detailed procedure to find GCD of 321, 177, 189 on our page.

3. How to find GCD of 321, 177, 189 on a calculator?

You can find the GCD of 321, 177, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.