GCD of 217, 363, 121, 304 Calculator

Given Input numbers are 217, 363, 121, 304

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 217, 363, 121, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 363, 121, 304 is 1.

Therefore, GCD of numbers 217, 363, 121, 304 is 1

Given Input Data is 217, 363, 121, 304

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 121 is 11 x 11

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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(217, 363) = 78771

GCD(217, 363) = ( 217 x 363 ) / 78771

GCD(217, 363) = 78771 / 78771

GCD(217, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 217, 363, 121, 304 is 1

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1. What is the GCD of 217, 363, 121, 304?

GCD of 217, 363, 121, 304 is 1

2. Where do I get the detailed procedure to find GCD of 217, 363, 121, 304?

You can find a detailed procedure to find GCD of 217, 363, 121, 304 on our page.

3. How to find GCD of 217, 363, 121, 304 on a calculator?

You can find the GCD of 217, 363, 121, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.