GCD of 896, 396, 72, 499 Calculator

Given Input numbers are 896, 396, 72, 499

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

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 896, 396, 72, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 396, 72, 499 is 1.

Therefore, GCD of numbers 896, 396, 72, 499 is 1

Given Input Data is 896, 396, 72, 499

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

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 499 is 499

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(896, 396) = 88704

GCD(896, 396) = ( 896 x 396 ) / 88704

GCD(896, 396) = 354816 / 88704

GCD(896, 396) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 499

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

LCM(4, 499) = 1996

GCD(4, 499) = ( 4 x 499 ) / 1996

GCD(4, 499) = 1996 / 1996

GCD(4, 499) = 1

GCD of 896, 396, 72, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 643, 22, 738
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• GCD of 193, 659, 27, 490

1. What is the GCD of 896, 396, 72, 499?

GCD of 896, 396, 72, 499 is 1

2. Where do I get the detailed procedure to find GCD of 896, 396, 72, 499?

You can find a detailed procedure to find GCD of 896, 396, 72, 499 on our page.

3. How to find GCD of 896, 396, 72, 499 on a calculator?

You can find the GCD of 896, 396, 72, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.