GCD of 471, 348, 21, 487 Calculator

Given Input numbers are 471, 348, 21, 487

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Greatest Common Divisior

We found the divisors of 471, 348, 21, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 348, 21, 487 is 1.

Therefore, GCD of numbers 471, 348, 21, 487 is 1

Given Input Data is 471, 348, 21, 487

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 21 is 3 x 7

Prime Factorization of 487 is 487

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, 348) = 54636

GCD(471, 348) = ( 471 x 348 ) / 54636

GCD(471, 348) = 163908 / 54636

GCD(471, 348) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 487

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

LCM(3, 487) = 1461

GCD(3, 487) = ( 3 x 487 ) / 1461

GCD(3, 487) = 1461 / 1461

GCD(3, 487) = 1

GCD of 471, 348, 21, 487 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 609, 606, 75, 152
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• GCD of 169, 360, 89, 348
• GCD of 775, 136, 63, 631

1. What is the GCD of 471, 348, 21, 487?

GCD of 471, 348, 21, 487 is 1

2. Where do I get the detailed procedure to find GCD of 471, 348, 21, 487?

You can find a detailed procedure to find GCD of 471, 348, 21, 487 on our page.

3. How to find GCD of 471, 348, 21, 487 on a calculator?

You can find the GCD of 471, 348, 21, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.