GCD of 196, 663, 42, 209 Calculator

Given Input numbers are 196, 663, 42, 209

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 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 196, 663, 42, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 663, 42, 209 is 1.

Therefore, GCD of numbers 196, 663, 42, 209 is 1

Given Input Data is 196, 663, 42, 209

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 663 is 3 x 13 x 17

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 209 is 11 x 19

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, 663) = 129948

GCD(196, 663) = ( 196 x 663 ) / 129948

GCD(196, 663) = 129948 / 129948

GCD(196, 663) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 196, 663, 42, 209 is 1

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1. What is the GCD of 196, 663, 42, 209?

GCD of 196, 663, 42, 209 is 1

2. Where do I get the detailed procedure to find GCD of 196, 663, 42, 209?

You can find a detailed procedure to find GCD of 196, 663, 42, 209 on our page.

3. How to find GCD of 196, 663, 42, 209 on a calculator?

You can find the GCD of 196, 663, 42, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.