GCD of 363, 689, 71, 256 Calculator

Given Input numbers are 363, 689, 71, 256

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 363, 689, 71, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 689, 71, 256 is 1.

Therefore, GCD of numbers 363, 689, 71, 256 is 1

Given Input Data is 363, 689, 71, 256

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 689 is 13 x 53

Prime Factorization of 71 is 71

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

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(363, 689) = 250107

GCD(363, 689) = ( 363 x 689 ) / 250107

GCD(363, 689) = 250107 / 250107

GCD(363, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

GCD of 363, 689, 71, 256 is 1

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1. What is the GCD of 363, 689, 71, 256?

GCD of 363, 689, 71, 256 is 1

2. Where do I get the detailed procedure to find GCD of 363, 689, 71, 256?

You can find a detailed procedure to find GCD of 363, 689, 71, 256 on our page.

3. How to find GCD of 363, 689, 71, 256 on a calculator?

You can find the GCD of 363, 689, 71, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.