GCD of 441, 984, 296 Calculator

Given Input numbers are 441, 984, 296

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 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 441, 984, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 984, 296 is 1.

Therefore, GCD of numbers 441, 984, 296 is 1

Given Input Data is 441, 984, 296

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 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 296 is 2 x 2 x 2 x 37

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, 984) = 144648

GCD(441, 984) = ( 441 x 984 ) / 144648

GCD(441, 984) = 433944 / 144648

GCD(441, 984) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 296

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

LCM(3, 296) = 888

GCD(3, 296) = ( 3 x 296 ) / 888

GCD(3, 296) = 888 / 888

GCD(3, 296) = 1

GCD of 441, 984, 296 is 1

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1. What is the GCD of 441, 984, 296?

GCD of 441, 984, 296 is 1

2. Where do I get the detailed procedure to find GCD of 441, 984, 296?

You can find a detailed procedure to find GCD of 441, 984, 296 on our page.

3. How to find GCD of 441, 984, 296 on a calculator?

You can find the GCD of 441, 984, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.