GCD of 896, 408, 437, 444 Calculator

Given Input numbers are 896, 408, 437, 444

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 896, 408, 437, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 408, 437, 444 is 1.

Therefore, GCD of numbers 896, 408, 437, 444 is 1

Given Input Data is 896, 408, 437, 444

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 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 437 is 19 x 23

Prime Factorization of 444 is 2 x 2 x 3 x 37

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, 408) = 45696

GCD(896, 408) = ( 896 x 408 ) / 45696

GCD(896, 408) = 365568 / 45696

GCD(896, 408) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 437

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

LCM(8, 437) = 3496

GCD(8, 437) = ( 8 x 437 ) / 3496

GCD(8, 437) = 3496 / 3496

GCD(8, 437) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

GCD of 896, 408, 437, 444 is 1

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1. What is the GCD of 896, 408, 437, 444?

GCD of 896, 408, 437, 444 is 1

2. Where do I get the detailed procedure to find GCD of 896, 408, 437, 444?

You can find a detailed procedure to find GCD of 896, 408, 437, 444 on our page.

3. How to find GCD of 896, 408, 437, 444 on a calculator?

You can find the GCD of 896, 408, 437, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.