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 29, 440, 991, 198 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 440, 991, 198 is 1
GCD(29, 440, 991, 198) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 440, 991, 198 is 1
GCD(29, 440, 991, 198) = 1
Given Input numbers are 29, 440, 991, 198
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
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 29, 440, 991, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 440, 991, 198 is 1.
Therefore, GCD of numbers 29, 440, 991, 198 is 1
Given Input Data is 29, 440, 991, 198
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 991 is 991
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(29, 440) = 12760
GCD(29, 440) = ( 29 x 440 ) / 12760
GCD(29, 440) = 12760 / 12760
GCD(29, 440) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
GCD(1, 991) = 991 / 991
GCD(1, 991) = 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 29, 440, 991, 198 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 440, 991, 198?
GCD of 29, 440, 991, 198 is 1
2. Where do I get the detailed procedure to find GCD of 29, 440, 991, 198?
You can find a detailed procedure to find GCD of 29, 440, 991, 198 on our page.
3. How to find GCD of 29, 440, 991, 198 on a calculator?
You can find the GCD of 29, 440, 991, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.