GCD of 463, 238, 731 Calculator

Given Input numbers are 463, 238, 731

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

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 731

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

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 463, 238, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 238, 731 is 1.

Therefore, GCD of numbers 463, 238, 731 is 1

Given Input Data is 463, 238, 731

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

Prime Factorization of 463 is 463

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 731 is 17 x 43

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(463, 238) = 110194

GCD(463, 238) = ( 463 x 238 ) / 110194

GCD(463, 238) = 110194 / 110194

GCD(463, 238) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 463, 238, 731 is 1

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1. What is the GCD of 463, 238, 731?

GCD of 463, 238, 731 is 1

2. Where do I get the detailed procedure to find GCD of 463, 238, 731?

You can find a detailed procedure to find GCD of 463, 238, 731 on our page.

3. How to find GCD of 463, 238, 731 on a calculator?

You can find the GCD of 463, 238, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.