Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 196, 663, 42, 209 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 663, 42, 209 is 1
GCD(196, 663, 42, 209) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 663, 42, 209 is 1
GCD(196, 663, 42, 209) = 1
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
Here are some samples of GCD of Numbers calculations.
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.