GCD of 286, 440, 11, 656 Calculator

Given Input numbers are 286, 440, 11, 656

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

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 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

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

Greatest Common Divisior

We found the divisors of 286, 440, 11, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 440, 11, 656 is 1.

Therefore, GCD of numbers 286, 440, 11, 656 is 1

Given Input Data is 286, 440, 11, 656

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

Prime Factorization of 286 is 2 x 11 x 13

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

Prime Factorization of 11 is 11

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

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(286, 440) = 5720

GCD(286, 440) = ( 286 x 440 ) / 5720

GCD(286, 440) = 125840 / 5720

GCD(286, 440) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 11

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

LCM(22, 11) = 22

GCD(22, 11) = ( 22 x 11 ) / 22

GCD(22, 11) = 242 / 22

GCD(22, 11) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 656

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

LCM(11, 656) = 7216

GCD(11, 656) = ( 11 x 656 ) / 7216

GCD(11, 656) = 7216 / 7216

GCD(11, 656) = 1

GCD of 286, 440, 11, 656 is 1

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1. What is the GCD of 286, 440, 11, 656?

GCD of 286, 440, 11, 656 is 1

2. Where do I get the detailed procedure to find GCD of 286, 440, 11, 656?

You can find a detailed procedure to find GCD of 286, 440, 11, 656 on our page.

3. How to find GCD of 286, 440, 11, 656 on a calculator?

You can find the GCD of 286, 440, 11, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.