GCD of 171, 768, 41, 328 Calculator

Given Input numbers are 171, 768, 41, 328

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 171, 768, 41, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 768, 41, 328 is 1.

Therefore, GCD of numbers 171, 768, 41, 328 is 1

Given Input Data is 171, 768, 41, 328

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 41 is 41

Prime Factorization of 328 is 2 x 2 x 2 x 41

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(171, 768) = 43776

GCD(171, 768) = ( 171 x 768 ) / 43776

GCD(171, 768) = 131328 / 43776

GCD(171, 768) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

GCD of 171, 768, 41, 328 is 1

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1. What is the GCD of 171, 768, 41, 328?

GCD of 171, 768, 41, 328 is 1

2. Where do I get the detailed procedure to find GCD of 171, 768, 41, 328?

You can find a detailed procedure to find GCD of 171, 768, 41, 328 on our page.

3. How to find GCD of 171, 768, 41, 328 on a calculator?

You can find the GCD of 171, 768, 41, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.