GCD of 471, 282, 21, 395 Calculator

Given Input numbers are 471, 282, 21, 395

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 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 21

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

1, 3, 7, 21

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 471, 282, 21, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 282, 21, 395 is 1.

Therefore, GCD of numbers 471, 282, 21, 395 is 1

Given Input Data is 471, 282, 21, 395

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 21 is 3 x 7

Prime Factorization of 395 is 5 x 79

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, 282) = 44274

GCD(471, 282) = ( 471 x 282 ) / 44274

GCD(471, 282) = 132822 / 44274

GCD(471, 282) = 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 395

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

LCM(3, 395) = 1185

GCD(3, 395) = ( 3 x 395 ) / 1185

GCD(3, 395) = 1185 / 1185

GCD(3, 395) = 1

GCD of 471, 282, 21, 395 is 1

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• GCD of 302, 217, 38, 680
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1. What is the GCD of 471, 282, 21, 395?

GCD of 471, 282, 21, 395 is 1

2. Where do I get the detailed procedure to find GCD of 471, 282, 21, 395?

You can find a detailed procedure to find GCD of 471, 282, 21, 395 on our page.

3. How to find GCD of 471, 282, 21, 395 on a calculator?

You can find the GCD of 471, 282, 21, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.