GCD of 448, 819, 996 Calculator

Given Input numbers are 448, 819, 996

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 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 448, 819, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 819, 996 is 1.

Therefore, GCD of numbers 448, 819, 996 is 1

Given Input Data is 448, 819, 996

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 819 is 3 x 3 x 7 x 13

Prime Factorization of 996 is 2 x 2 x 3 x 83

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, 819) = 52416

GCD(448, 819) = ( 448 x 819 ) / 52416

GCD(448, 819) = 366912 / 52416

GCD(448, 819) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 996

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

LCM(7, 996) = 6972

GCD(7, 996) = ( 7 x 996 ) / 6972

GCD(7, 996) = 6972 / 6972

GCD(7, 996) = 1

GCD of 448, 819, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 554, 362
• GCD of 498, 166, 338
• GCD of 340, 699, 704
• GCD of 376, 446, 712
• GCD of 302, 672, 225

1. What is the GCD of 448, 819, 996?

GCD of 448, 819, 996 is 1

2. Where do I get the detailed procedure to find GCD of 448, 819, 996?

You can find a detailed procedure to find GCD of 448, 819, 996 on our page.

3. How to find GCD of 448, 819, 996 on a calculator?

You can find the GCD of 448, 819, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.