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 998, 191, 652, 744 i.e. 1 largest integer that divides all the numbers equally.
GCD of 998, 191, 652, 744 is 1
GCD(998, 191, 652, 744) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 191, 652, 744 is 1
GCD(998, 191, 652, 744) = 1
Given Input numbers are 998, 191, 652, 744
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Greatest Common Divisior
We found the divisors of 998, 191, 652, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 191, 652, 744 is 1.
Therefore, GCD of numbers 998, 191, 652, 744 is 1
Given Input Data is 998, 191, 652, 744
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 191 is 191
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
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(998, 191) = 190618
GCD(998, 191) = ( 998 x 191 ) / 190618
GCD(998, 191) = 190618 / 190618
GCD(998, 191) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 744
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 744) = 744
GCD(1, 744) = ( 1 x 744 ) / 744
GCD(1, 744) = 744 / 744
GCD(1, 744) = 1
GCD of 998, 191, 652, 744 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 191, 652, 744?
GCD of 998, 191, 652, 744 is 1
2. Where do I get the detailed procedure to find GCD of 998, 191, 652, 744?
You can find a detailed procedure to find GCD of 998, 191, 652, 744 on our page.
3. How to find GCD of 998, 191, 652, 744 on a calculator?
You can find the GCD of 998, 191, 652, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.