GCD of 128, 470, 14, 286 Calculator

Given Input numbers are 128, 470, 14, 286

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 286

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

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

Greatest Common Divisior

We found the divisors of 128, 470, 14, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 470, 14, 286 is 2.

Therefore, GCD of numbers 128, 470, 14, 286 is 2

Given Input Data is 128, 470, 14, 286

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 14 is 2 x 7

Prime Factorization of 286 is 2 x 11 x 13

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(128, 470) = 30080

GCD(128, 470) = ( 128 x 470 ) / 30080

GCD(128, 470) = 60160 / 30080

GCD(128, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 286

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

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

GCD(2, 286) = 572 / 286

GCD(2, 286) = 2

GCD of 128, 470, 14, 286 is 2

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1. What is the GCD of 128, 470, 14, 286?

GCD of 128, 470, 14, 286 is 2

2. Where do I get the detailed procedure to find GCD of 128, 470, 14, 286?

You can find a detailed procedure to find GCD of 128, 470, 14, 286 on our page.

3. How to find GCD of 128, 470, 14, 286 on a calculator?

You can find the GCD of 128, 470, 14, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.