GCD of 647, 998, 231, 471 Calculator

Given Input numbers are 647, 998, 231, 471

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

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

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 647, 998, 231, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 647, 998, 231, 471 is 1.

Therefore, GCD of numbers 647, 998, 231, 471 is 1

Given Input Data is 647, 998, 231, 471

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

Prime Factorization of 647 is 647

Prime Factorization of 998 is 2 x 499

Prime Factorization of 231 is 3 x 7 x 11

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(647, 998) = 645706

GCD(647, 998) = ( 647 x 998 ) / 645706

GCD(647, 998) = 645706 / 645706

GCD(647, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 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 647, 998, 231, 471 is 1

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1. What is the GCD of 647, 998, 231, 471?

GCD of 647, 998, 231, 471 is 1

2. Where do I get the detailed procedure to find GCD of 647, 998, 231, 471?

You can find a detailed procedure to find GCD of 647, 998, 231, 471 on our page.

3. How to find GCD of 647, 998, 231, 471 on a calculator?

You can find the GCD of 647, 998, 231, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.