GCD of 355, 284, 21, 472 Calculator

Given Input numbers are 355, 284, 21, 472

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 21

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

1, 3, 7, 21

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 355, 284, 21, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 284, 21, 472 is 1.

Therefore, GCD of numbers 355, 284, 21, 472 is 1

Given Input Data is 355, 284, 21, 472

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 21 is 3 x 7

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(355, 284) = 1420

GCD(355, 284) = ( 355 x 284 ) / 1420

GCD(355, 284) = 100820 / 1420

GCD(355, 284) = 71

Step2:

Here we consider the GCD from the above i.e. 71 as first number and the next as 21

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

LCM(71, 21) = 1491

GCD(71, 21) = ( 71 x 21 ) / 1491

GCD(71, 21) = 1491 / 1491

GCD(71, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 355, 284, 21, 472 is 1

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1. What is the GCD of 355, 284, 21, 472?

GCD of 355, 284, 21, 472 is 1

2. Where do I get the detailed procedure to find GCD of 355, 284, 21, 472?

You can find a detailed procedure to find GCD of 355, 284, 21, 472 on our page.

3. How to find GCD of 355, 284, 21, 472 on a calculator?

You can find the GCD of 355, 284, 21, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.