GCD of 196, 488, 609 Calculator

Given Input numbers are 196, 488, 609

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 488

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

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 196, 488, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 488, 609 is 1.

Therefore, GCD of numbers 196, 488, 609 is 1

Given Input Data is 196, 488, 609

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 488 is 2 x 2 x 2 x 61

Prime Factorization of 609 is 3 x 7 x 29

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, 488) = 23912

GCD(196, 488) = ( 196 x 488 ) / 23912

GCD(196, 488) = 95648 / 23912

GCD(196, 488) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 609

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

LCM(4, 609) = 2436

GCD(4, 609) = ( 4 x 609 ) / 2436

GCD(4, 609) = 2436 / 2436

GCD(4, 609) = 1

GCD of 196, 488, 609 is 1

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1. What is the GCD of 196, 488, 609?

GCD of 196, 488, 609 is 1

2. Where do I get the detailed procedure to find GCD of 196, 488, 609?

You can find a detailed procedure to find GCD of 196, 488, 609 on our page.

3. How to find GCD of 196, 488, 609 on a calculator?

You can find the GCD of 196, 488, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.