GCD of 488, 192, 421 Calculator

Given Input numbers are 488, 192, 421

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 488, 192, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 192, 421 is 1.

Therefore, GCD of numbers 488, 192, 421 is 1

Given Input Data is 488, 192, 421

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 421 is 421

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(488, 192) = 11712

GCD(488, 192) = ( 488 x 192 ) / 11712

GCD(488, 192) = 93696 / 11712

GCD(488, 192) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 421

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

LCM(8, 421) = 3368

GCD(8, 421) = ( 8 x 421 ) / 3368

GCD(8, 421) = 3368 / 3368

GCD(8, 421) = 1

GCD of 488, 192, 421 is 1

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1. What is the GCD of 488, 192, 421?

GCD of 488, 192, 421 is 1

2. Where do I get the detailed procedure to find GCD of 488, 192, 421?

You can find a detailed procedure to find GCD of 488, 192, 421 on our page.

3. How to find GCD of 488, 192, 421 on a calculator?

You can find the GCD of 488, 192, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.