GCD of 353, 582, 18, 471 Calculator

Given Input numbers are 353, 582, 18, 471

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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 353, 582, 18, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 582, 18, 471 is 1.

Therefore, GCD of numbers 353, 582, 18, 471 is 1

Given Input Data is 353, 582, 18, 471

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

Prime Factorization of 353 is 353

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 18 is 2 x 3 x 3

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(353, 582) = 205446

GCD(353, 582) = ( 353 x 582 ) / 205446

GCD(353, 582) = 205446 / 205446

GCD(353, 582) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 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 353, 582, 18, 471 is 1

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1. What is the GCD of 353, 582, 18, 471?

GCD of 353, 582, 18, 471 is 1

2. Where do I get the detailed procedure to find GCD of 353, 582, 18, 471?

You can find a detailed procedure to find GCD of 353, 582, 18, 471 on our page.

3. How to find GCD of 353, 582, 18, 471 on a calculator?

You can find the GCD of 353, 582, 18, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.