GCD of 256, 132, 508 Calculator

Given Input numbers are 256, 132, 508

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 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 256, 132, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 132, 508 is 4.

Therefore, GCD of numbers 256, 132, 508 is 4

Given Input Data is 256, 132, 508

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 132 is 2 x 2 x 3 x 11

Prime Factorization of 508 is 2 x 2 x 127

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 132) = 8448

GCD(256, 132) = ( 256 x 132 ) / 8448

GCD(256, 132) = 33792 / 8448

GCD(256, 132) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 508

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

LCM(4, 508) = 508

GCD(4, 508) = ( 4 x 508 ) / 508

GCD(4, 508) = 2032 / 508

GCD(4, 508) = 4

GCD of 256, 132, 508 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 411, 971
• GCD of 502, 840, 843
• GCD of 189, 226, 475
• GCD of 806, 336, 928
• GCD of 443, 791, 697

1. What is the GCD of 256, 132, 508?

GCD of 256, 132, 508 is 4

2. Where do I get the detailed procedure to find GCD of 256, 132, 508?

You can find a detailed procedure to find GCD of 256, 132, 508 on our page.

3. How to find GCD of 256, 132, 508 on a calculator?

You can find the GCD of 256, 132, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.