GCD of 256, 888, 775, 471 Calculator

Given Input numbers are 256, 888, 775, 471

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 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 256, 888, 775, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 888, 775, 471 is 1.

Therefore, GCD of numbers 256, 888, 775, 471 is 1

Given Input Data is 256, 888, 775, 471

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 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 471 is 3 x 157

The above numbers do not have any common prime factor. So GCD is 1

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, 888) = 28416

GCD(256, 888) = ( 256 x 888 ) / 28416

GCD(256, 888) = 227328 / 28416

GCD(256, 888) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 775

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

LCM(8, 775) = 6200

GCD(8, 775) = ( 8 x 775 ) / 6200

GCD(8, 775) = 6200 / 6200

GCD(8, 775) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 256, 888, 775, 471 is 1

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• GCD of 522, 287, 300, 346
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1. What is the GCD of 256, 888, 775, 471?

GCD of 256, 888, 775, 471 is 1

2. Where do I get the detailed procedure to find GCD of 256, 888, 775, 471?

You can find a detailed procedure to find GCD of 256, 888, 775, 471 on our page.

3. How to find GCD of 256, 888, 775, 471 on a calculator?

You can find the GCD of 256, 888, 775, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.