GCD of 448, 432, 872, 241 Calculator

Given Input numbers are 448, 432, 872, 241

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 448, 432, 872, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 432, 872, 241 is 1.

Therefore, GCD of numbers 448, 432, 872, 241 is 1

Given Input Data is 448, 432, 872, 241

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 241 is 241

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(448, 432) = 12096

GCD(448, 432) = ( 448 x 432 ) / 12096

GCD(448, 432) = 193536 / 12096

GCD(448, 432) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 872

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

LCM(16, 872) = 1744

GCD(16, 872) = ( 16 x 872 ) / 1744

GCD(16, 872) = 13952 / 1744

GCD(16, 872) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 241

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

LCM(8, 241) = 1928

GCD(8, 241) = ( 8 x 241 ) / 1928

GCD(8, 241) = 1928 / 1928

GCD(8, 241) = 1

GCD of 448, 432, 872, 241 is 1

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1. What is the GCD of 448, 432, 872, 241?

GCD of 448, 432, 872, 241 is 1

2. Where do I get the detailed procedure to find GCD of 448, 432, 872, 241?

You can find a detailed procedure to find GCD of 448, 432, 872, 241 on our page.

3. How to find GCD of 448, 432, 872, 241 on a calculator?

You can find the GCD of 448, 432, 872, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.