GCD of 318, 146, 330, 221 Calculator

Given Input numbers are 318, 146, 330, 221

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 318, 146, 330, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 146, 330, 221 is 1.

Therefore, GCD of numbers 318, 146, 330, 221 is 1

Given Input Data is 318, 146, 330, 221

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 146 is 2 x 73

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 221 is 13 x 17

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(318, 146) = 23214

GCD(318, 146) = ( 318 x 146 ) / 23214

GCD(318, 146) = 46428 / 23214

GCD(318, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 330

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

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

GCD(2, 330) = 660 / 330

GCD(2, 330) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 1

GCD of 318, 146, 330, 221 is 1

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• GCD of 354, 333, 282, 101
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1. What is the GCD of 318, 146, 330, 221?

GCD of 318, 146, 330, 221 is 1

2. Where do I get the detailed procedure to find GCD of 318, 146, 330, 221?

You can find a detailed procedure to find GCD of 318, 146, 330, 221 on our page.

3. How to find GCD of 318, 146, 330, 221 on a calculator?

You can find the GCD of 318, 146, 330, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.