GCD of 443, 231, 54, 896 Calculator

Given Input numbers are 443, 231, 54, 896

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

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 443, 231, 54, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 443, 231, 54, 896 is 1.

Therefore, GCD of numbers 443, 231, 54, 896 is 1

Given Input Data is 443, 231, 54, 896

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

Prime Factorization of 443 is 443

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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(443, 231) = 102333

GCD(443, 231) = ( 443 x 231 ) / 102333

GCD(443, 231) = 102333 / 102333

GCD(443, 231) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 443, 231, 54, 896 is 1

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1. What is the GCD of 443, 231, 54, 896?

GCD of 443, 231, 54, 896 is 1

2. Where do I get the detailed procedure to find GCD of 443, 231, 54, 896?

You can find a detailed procedure to find GCD of 443, 231, 54, 896 on our page.

3. How to find GCD of 443, 231, 54, 896 on a calculator?

You can find the GCD of 443, 231, 54, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.