GCD of 217, 289, 363 Calculator

Given Input numbers are 217, 289, 363

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 363

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

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 217, 289, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 289, 363 is 1.

Therefore, GCD of numbers 217, 289, 363 is 1

Given Input Data is 217, 289, 363

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 289 is 17 x 17

Prime Factorization of 363 is 3 x 11 x 11

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, 289) = 62713

GCD(217, 289) = ( 217 x 289 ) / 62713

GCD(217, 289) = 62713 / 62713

GCD(217, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 217, 289, 363 is 1

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• GCD of 547, 657, 422
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1. What is the GCD of 217, 289, 363?

GCD of 217, 289, 363 is 1

2. Where do I get the detailed procedure to find GCD of 217, 289, 363?

You can find a detailed procedure to find GCD of 217, 289, 363 on our page.

3. How to find GCD of 217, 289, 363 on a calculator?

You can find the GCD of 217, 289, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.