GCD of 731, 238, 30, 563 Calculator

Given Input numbers are 731, 238, 30, 563

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

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 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 731, 238, 30, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 238, 30, 563 is 1.

Therefore, GCD of numbers 731, 238, 30, 563 is 1

Given Input Data is 731, 238, 30, 563

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 563 is 563

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(731, 238) = 10234

GCD(731, 238) = ( 731 x 238 ) / 10234

GCD(731, 238) = 173978 / 10234

GCD(731, 238) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 30

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

LCM(17, 30) = 510

GCD(17, 30) = ( 17 x 30 ) / 510

GCD(17, 30) = 510 / 510

GCD(17, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 731, 238, 30, 563 is 1

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1. What is the GCD of 731, 238, 30, 563?

GCD of 731, 238, 30, 563 is 1

2. Where do I get the detailed procedure to find GCD of 731, 238, 30, 563?

You can find a detailed procedure to find GCD of 731, 238, 30, 563 on our page.

3. How to find GCD of 731, 238, 30, 563 on a calculator?

You can find the GCD of 731, 238, 30, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.