GCD of 486, 256, 966, 458 Calculator

Given Input numbers are 486, 256, 966, 458

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 486, 256, 966, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 256, 966, 458 is 2.

Therefore, GCD of numbers 486, 256, 966, 458 is 2

Given Input Data is 486, 256, 966, 458

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 458 is 2 x 229

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(486, 256) = 62208

GCD(486, 256) = ( 486 x 256 ) / 62208

GCD(486, 256) = 124416 / 62208

GCD(486, 256) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 966

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

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

GCD(2, 966) = 1932 / 966

GCD(2, 966) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 458

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

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

GCD(2, 458) = 916 / 458

GCD(2, 458) = 2

GCD of 486, 256, 966, 458 is 2

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1. What is the GCD of 486, 256, 966, 458?

GCD of 486, 256, 966, 458 is 2

2. Where do I get the detailed procedure to find GCD of 486, 256, 966, 458?

You can find a detailed procedure to find GCD of 486, 256, 966, 458 on our page.

3. How to find GCD of 486, 256, 966, 458 on a calculator?

You can find the GCD of 486, 256, 966, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.