GCD of 880, 656, 794, 444 Calculator

Given Input numbers are 880, 656, 794, 444

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

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 880, 656, 794, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 656, 794, 444 is 2.

Therefore, GCD of numbers 880, 656, 794, 444 is 2

Given Input Data is 880, 656, 794, 444

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 794 is 2 x 397

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(880, 656) = 36080

GCD(880, 656) = ( 880 x 656 ) / 36080

GCD(880, 656) = 577280 / 36080

GCD(880, 656) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 794

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

LCM(16, 794) = 6352

GCD(16, 794) = ( 16 x 794 ) / 6352

GCD(16, 794) = 12704 / 6352

GCD(16, 794) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 444

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

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

GCD(2, 444) = 888 / 444

GCD(2, 444) = 2

GCD of 880, 656, 794, 444 is 2

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1. What is the GCD of 880, 656, 794, 444?

GCD of 880, 656, 794, 444 is 2

2. Where do I get the detailed procedure to find GCD of 880, 656, 794, 444?

You can find a detailed procedure to find GCD of 880, 656, 794, 444 on our page.

3. How to find GCD of 880, 656, 794, 444 on a calculator?

You can find the GCD of 880, 656, 794, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.