GCD of 47, 216, 353, 321 Calculator

Given Input numbers are 47, 216, 353, 321

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 321

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

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 47, 216, 353, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 216, 353, 321 is 1.

Therefore, GCD of numbers 47, 216, 353, 321 is 1

Given Input Data is 47, 216, 353, 321

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

Prime Factorization of 47 is 47

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 353 is 353

Prime Factorization of 321 is 3 x 107

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(47, 216) = 10152

GCD(47, 216) = ( 47 x 216 ) / 10152

GCD(47, 216) = 10152 / 10152

GCD(47, 216) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 47, 216, 353, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 180, 190, 573
• GCD of 95, 440, 471, 469
• GCD of 76, 280, 533, 823
• GCD of 69, 780, 872, 114
• GCD of 23, 753, 969, 229

1. What is the GCD of 47, 216, 353, 321?

GCD of 47, 216, 353, 321 is 1

2. Where do I get the detailed procedure to find GCD of 47, 216, 353, 321?

You can find a detailed procedure to find GCD of 47, 216, 353, 321 on our page.

3. How to find GCD of 47, 216, 353, 321 on a calculator?

You can find the GCD of 47, 216, 353, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.