GCD of 238, 522, 84, 256 Calculator

Given Input numbers are 238, 522, 84, 256

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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

Greatest Common Divisior

We found the divisors of 238, 522, 84, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 522, 84, 256 is 2.

Therefore, GCD of numbers 238, 522, 84, 256 is 2

Given Input Data is 238, 522, 84, 256

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 84 is 2 x 2 x 3 x 7

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

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(238, 522) = 62118

GCD(238, 522) = ( 238 x 522 ) / 62118

GCD(238, 522) = 124236 / 62118

GCD(238, 522) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 256

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

LCM(2, 256) = 256

GCD(2, 256) = ( 2 x 256 ) / 256

GCD(2, 256) = 512 / 256

GCD(2, 256) = 2

GCD of 238, 522, 84, 256 is 2

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• GCD of 788, 322, 88, 261
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1. What is the GCD of 238, 522, 84, 256?

GCD of 238, 522, 84, 256 is 2

2. Where do I get the detailed procedure to find GCD of 238, 522, 84, 256?

You can find a detailed procedure to find GCD of 238, 522, 84, 256 on our page.

3. How to find GCD of 238, 522, 84, 256 on a calculator?

You can find the GCD of 238, 522, 84, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.