GCD of 120, 166, 327, 648 Calculator

Given Input numbers are 120, 166, 327, 648

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 120, 166, 327, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 166, 327, 648 is 1.

Therefore, GCD of numbers 120, 166, 327, 648 is 1

Given Input Data is 120, 166, 327, 648

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 166 is 2 x 83

Prime Factorization of 327 is 3 x 109

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(120, 166) = 9960

GCD(120, 166) = ( 120 x 166 ) / 9960

GCD(120, 166) = 19920 / 9960

GCD(120, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 327

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

LCM(2, 327) = 654

GCD(2, 327) = ( 2 x 327 ) / 654

GCD(2, 327) = 654 / 654

GCD(2, 327) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 120, 166, 327, 648 is 1

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1. What is the GCD of 120, 166, 327, 648?

GCD of 120, 166, 327, 648 is 1

2. Where do I get the detailed procedure to find GCD of 120, 166, 327, 648?

You can find a detailed procedure to find GCD of 120, 166, 327, 648 on our page.

3. How to find GCD of 120, 166, 327, 648 on a calculator?

You can find the GCD of 120, 166, 327, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.