GCD of 471, 647, 30, 998 Calculator

Given Input numbers are 471, 647, 30, 998

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

Divisors of 471

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

1, 3, 157, 471

Divisors of 647

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

1, 647

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 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 471, 647, 30, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 647, 30, 998 is 1.

Therefore, GCD of numbers 471, 647, 30, 998 is 1

Given Input Data is 471, 647, 30, 998

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 647 is 647

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 998 is 2 x 499

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(471, 647) = 304737

GCD(471, 647) = ( 471 x 647 ) / 304737

GCD(471, 647) = 304737 / 304737

GCD(471, 647) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 471, 647, 30, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 154, 36, 737
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• GCD of 701, 758, 62, 193

1. What is the GCD of 471, 647, 30, 998?

GCD of 471, 647, 30, 998 is 1

2. Where do I get the detailed procedure to find GCD of 471, 647, 30, 998?

You can find a detailed procedure to find GCD of 471, 647, 30, 998 on our page.

3. How to find GCD of 471, 647, 30, 998 on a calculator?

You can find the GCD of 471, 647, 30, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.