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, 109, 97, 404 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 109, 97, 404 is 1
GCD(196, 109, 97, 404) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 109, 97, 404 is 1
GCD(196, 109, 97, 404) = 1
Given Input numbers are 196, 109, 97, 404
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 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Greatest Common Divisior
We found the divisors of 196, 109, 97, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 109, 97, 404 is 1.
Therefore, GCD of numbers 196, 109, 97, 404 is 1
Given Input Data is 196, 109, 97, 404
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 109 is 109
Prime Factorization of 97 is 97
Prime Factorization of 404 is 2 x 2 x 101
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, 109) = 21364
GCD(196, 109) = ( 196 x 109 ) / 21364
GCD(196, 109) = 21364 / 21364
GCD(196, 109) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 97) = 97
GCD(1, 97) = ( 1 x 97 ) / 97
GCD(1, 97) = 97 / 97
GCD(1, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
GCD(1, 404) = 404 / 404
GCD(1, 404) = 1
GCD of 196, 109, 97, 404 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 109, 97, 404?
GCD of 196, 109, 97, 404 is 1
2. Where do I get the detailed procedure to find GCD of 196, 109, 97, 404?
You can find a detailed procedure to find GCD of 196, 109, 97, 404 on our page.
3. How to find GCD of 196, 109, 97, 404 on a calculator?
You can find the GCD of 196, 109, 97, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.