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 616, 449, 24, 198 i.e. 1 largest integer that divides all the numbers equally.
GCD of 616, 449, 24, 198 is 1
GCD(616, 449, 24, 198) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 449, 24, 198 is 1
GCD(616, 449, 24, 198) = 1
Given Input numbers are 616, 449, 24, 198
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Greatest Common Divisior
We found the divisors of 616, 449, 24, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 449, 24, 198 is 1.
Therefore, GCD of numbers 616, 449, 24, 198 is 1
Given Input Data is 616, 449, 24, 198
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 449 is 449
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 198 is 2 x 3 x 3 x 11
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(616, 449) = 276584
GCD(616, 449) = ( 616 x 449 ) / 276584
GCD(616, 449) = 276584 / 276584
GCD(616, 449) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
GCD(1, 198) = 198 / 198
GCD(1, 198) = 1
GCD of 616, 449, 24, 198 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 449, 24, 198?
GCD of 616, 449, 24, 198 is 1
2. Where do I get the detailed procedure to find GCD of 616, 449, 24, 198?
You can find a detailed procedure to find GCD of 616, 449, 24, 198 on our page.
3. How to find GCD of 616, 449, 24, 198 on a calculator?
You can find the GCD of 616, 449, 24, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.