GCD of 196, 282, 423 Calculator

Given Input numbers are 196, 282, 423

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 196, 282, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 282, 423 is 1.

Therefore, GCD of numbers 196, 282, 423 is 1

Given Input Data is 196, 282, 423

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 423 is 3 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(196, 282) = 27636

GCD(196, 282) = ( 196 x 282 ) / 27636

GCD(196, 282) = 55272 / 27636

GCD(196, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

GCD of 196, 282, 423 is 1

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1. What is the GCD of 196, 282, 423?

GCD of 196, 282, 423 is 1

2. Where do I get the detailed procedure to find GCD of 196, 282, 423?

You can find a detailed procedure to find GCD of 196, 282, 423 on our page.

3. How to find GCD of 196, 282, 423 on a calculator?

You can find the GCD of 196, 282, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.