GCD of 441, 366, 363, 217 Calculator

Given Input numbers are 441, 366, 363, 217

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

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 363

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

1, 3, 11, 33, 121, 363

Divisors of 217

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

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 441, 366, 363, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 366, 363, 217 is 1.

Therefore, GCD of numbers 441, 366, 363, 217 is 1

Given Input Data is 441, 366, 363, 217

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

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 217 is 7 x 31

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(441, 366) = 53802

GCD(441, 366) = ( 441 x 366 ) / 53802

GCD(441, 366) = 161406 / 53802

GCD(441, 366) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 363

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

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

GCD(3, 363) = 1089 / 363

GCD(3, 363) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 217

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

LCM(3, 217) = 651

GCD(3, 217) = ( 3 x 217 ) / 651

GCD(3, 217) = 651 / 651

GCD(3, 217) = 1

GCD of 441, 366, 363, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 595, 739, 969
• GCD of 557, 469, 845, 280
• GCD of 527, 910, 127, 377
• GCD of 489, 148, 430, 453
• GCD of 350, 330, 491, 546

1. What is the GCD of 441, 366, 363, 217?

GCD of 441, 366, 363, 217 is 1

2. Where do I get the detailed procedure to find GCD of 441, 366, 363, 217?

You can find a detailed procedure to find GCD of 441, 366, 363, 217 on our page.

3. How to find GCD of 441, 366, 363, 217 on a calculator?

You can find the GCD of 441, 366, 363, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.