GCD of 165, 368, 173, 231 Calculator

Given Input numbers are 165, 368, 173, 231

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 165, 368, 173, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 368, 173, 231 is 1.

Therefore, GCD of numbers 165, 368, 173, 231 is 1

Given Input Data is 165, 368, 173, 231

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 173 is 173

Prime Factorization of 231 is 3 x 7 x 11

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(165, 368) = 60720

GCD(165, 368) = ( 165 x 368 ) / 60720

GCD(165, 368) = 60720 / 60720

GCD(165, 368) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 165, 368, 173, 231 is 1

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1. What is the GCD of 165, 368, 173, 231?

GCD of 165, 368, 173, 231 is 1

2. Where do I get the detailed procedure to find GCD of 165, 368, 173, 231?

You can find a detailed procedure to find GCD of 165, 368, 173, 231 on our page.

3. How to find GCD of 165, 368, 173, 231 on a calculator?

You can find the GCD of 165, 368, 173, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.