GCD of 256, 482, 110, 502 Calculator

Given Input numbers are 256, 482, 110, 502

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

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 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 256, 482, 110, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 482, 110, 502 is 2.

Therefore, GCD of numbers 256, 482, 110, 502 is 2

Given Input Data is 256, 482, 110, 502

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

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

Prime Factorization of 482 is 2 x 241

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 502 is 2 x 251

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(256, 482) = 61696

GCD(256, 482) = ( 256 x 482 ) / 61696

GCD(256, 482) = 123392 / 61696

GCD(256, 482) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 502

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

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

GCD(2, 502) = 1004 / 502

GCD(2, 502) = 2

GCD of 256, 482, 110, 502 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 315, 460, 973
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• GCD of 163, 481, 444, 725

1. What is the GCD of 256, 482, 110, 502?

GCD of 256, 482, 110, 502 is 2

2. Where do I get the detailed procedure to find GCD of 256, 482, 110, 502?

You can find a detailed procedure to find GCD of 256, 482, 110, 502 on our page.

3. How to find GCD of 256, 482, 110, 502 on a calculator?

You can find the GCD of 256, 482, 110, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.