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 990, 799, 52, 549 i.e. 1 largest integer that divides all the numbers equally.
GCD of 990, 799, 52, 549 is 1
GCD(990, 799, 52, 549) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 799, 52, 549 is 1
GCD(990, 799, 52, 549) = 1
Given Input numbers are 990, 799, 52, 549
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Greatest Common Divisior
We found the divisors of 990, 799, 52, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 799, 52, 549 is 1.
Therefore, GCD of numbers 990, 799, 52, 549 is 1
Given Input Data is 990, 799, 52, 549
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 799 is 17 x 47
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 549 is 3 x 3 x 61
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(990, 799) = 791010
GCD(990, 799) = ( 990 x 799 ) / 791010
GCD(990, 799) = 791010 / 791010
GCD(990, 799) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 549
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 549) = 549
GCD(1, 549) = ( 1 x 549 ) / 549
GCD(1, 549) = 549 / 549
GCD(1, 549) = 1
GCD of 990, 799, 52, 549 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 990, 799, 52, 549?
GCD of 990, 799, 52, 549 is 1
2. Where do I get the detailed procedure to find GCD of 990, 799, 52, 549?
You can find a detailed procedure to find GCD of 990, 799, 52, 549 on our page.
3. How to find GCD of 990, 799, 52, 549 on a calculator?
You can find the GCD of 990, 799, 52, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.