GCD of 393, 420, 20, 282 Calculator

Given Input numbers are 393, 420, 20, 282

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 282

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

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

Greatest Common Divisior

We found the divisors of 393, 420, 20, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 420, 20, 282 is 1.

Therefore, GCD of numbers 393, 420, 20, 282 is 1

Given Input Data is 393, 420, 20, 282

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 282 is 2 x 3 x 47

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(393, 420) = 55020

GCD(393, 420) = ( 393 x 420 ) / 55020

GCD(393, 420) = 165060 / 55020

GCD(393, 420) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 20

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

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

GCD(3, 20) = 60 / 60

GCD(3, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 393, 420, 20, 282 is 1

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• GCD of 855, 537, 73, 221
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1. What is the GCD of 393, 420, 20, 282?

GCD of 393, 420, 20, 282 is 1

2. Where do I get the detailed procedure to find GCD of 393, 420, 20, 282?

You can find a detailed procedure to find GCD of 393, 420, 20, 282 on our page.

3. How to find GCD of 393, 420, 20, 282 on a calculator?

You can find the GCD of 393, 420, 20, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.