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, 539, 648, 516 i.e. 1 largest integer that divides all the numbers equally.
GCD of 990, 539, 648, 516 is 1
GCD(990, 539, 648, 516) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 539, 648, 516 is 1
GCD(990, 539, 648, 516) = 1
Given Input numbers are 990, 539, 648, 516
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 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Greatest Common Divisior
We found the divisors of 990, 539, 648, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 539, 648, 516 is 1.
Therefore, GCD of numbers 990, 539, 648, 516 is 1
Given Input Data is 990, 539, 648, 516
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 539 is 7 x 7 x 11
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 516 is 2 x 2 x 3 x 43
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, 539) = 48510
GCD(990, 539) = ( 990 x 539 ) / 48510
GCD(990, 539) = 533610 / 48510
GCD(990, 539) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 648) = 7128
GCD(11, 648) = ( 11 x 648 ) / 7128
GCD(11, 648) = 7128 / 7128
GCD(11, 648) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 516
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 516) = 516
GCD(1, 516) = ( 1 x 516 ) / 516
GCD(1, 516) = 516 / 516
GCD(1, 516) = 1
GCD of 990, 539, 648, 516 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 990, 539, 648, 516?
GCD of 990, 539, 648, 516 is 1
2. Where do I get the detailed procedure to find GCD of 990, 539, 648, 516?
You can find a detailed procedure to find GCD of 990, 539, 648, 516 on our page.
3. How to find GCD of 990, 539, 648, 516 on a calculator?
You can find the GCD of 990, 539, 648, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.