GCD of 441, 216, 195, 921 Calculator

Given Input numbers are 441, 216, 195, 921

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 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 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 441, 216, 195, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 216, 195, 921 is 3.

Therefore, GCD of numbers 441, 216, 195, 921 is 3

Given Input Data is 441, 216, 195, 921

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 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 921 is 3 x 307

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 216) = 10584

GCD(441, 216) = ( 441 x 216 ) / 10584

GCD(441, 216) = 95256 / 10584

GCD(441, 216) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 195

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

LCM(9, 195) = 585

GCD(9, 195) = ( 9 x 195 ) / 585

GCD(9, 195) = 1755 / 585

GCD(9, 195) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 921

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

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

GCD(3, 921) = 2763 / 921

GCD(3, 921) = 3

GCD of 441, 216, 195, 921 is 3

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1. What is the GCD of 441, 216, 195, 921?

GCD of 441, 216, 195, 921 is 3

2. Where do I get the detailed procedure to find GCD of 441, 216, 195, 921?

You can find a detailed procedure to find GCD of 441, 216, 195, 921 on our page.

3. How to find GCD of 441, 216, 195, 921 on a calculator?

You can find the GCD of 441, 216, 195, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.