GCD of 440, 384, 49 Calculator

Given Input numbers are 440, 384, 49

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 440, 384, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 384, 49 is 1.

Therefore, GCD of numbers 440, 384, 49 is 1

Given Input Data is 440, 384, 49

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 49 is 7 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(440, 384) = 21120

GCD(440, 384) = ( 440 x 384 ) / 21120

GCD(440, 384) = 168960 / 21120

GCD(440, 384) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 49

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

LCM(8, 49) = 392

GCD(8, 49) = ( 8 x 49 ) / 392

GCD(8, 49) = 392 / 392

GCD(8, 49) = 1

GCD of 440, 384, 49 is 1

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• GCD of 799, 455, 56
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1. What is the GCD of 440, 384, 49?

GCD of 440, 384, 49 is 1

2. Where do I get the detailed procedure to find GCD of 440, 384, 49?

You can find a detailed procedure to find GCD of 440, 384, 49 on our page.

3. How to find GCD of 440, 384, 49 on a calculator?

You can find the GCD of 440, 384, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.