Online GCD Calculator is useful to find the GCD of 990, 750, 249, 918 quickly. Get the easiest ways to solve the greatest common divisor of 990, 750, 249, 918 i.e 3 in different methods as follows.
Given Input numbers are 990, 750, 249, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
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 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (990, 750, 249, 918) = 3.
Given numbers are 990, 750, 249, 918
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 249 are 3 x 83
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 990, 750, 249, 918 is 3.
Given numbers are 990, 750, 249, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 750) = 24750
GCD(990, 750) = ( 990 x 750 ) / 24750
= 990 / 750
= 990
Step2:
LCM(30, 249) = 2490
GCD(30, 249) = ( 30 x 249 ) / 2490
= 30 / 249
= 30
Step3:
LCM(3, 918) = 918
GCD(3, 918) = ( 3 x 918 ) / 918
= 3 / 918
= 3
So, Greatest Common Divisor of 990, 750, 249, 918 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 750, 249, 918
The greatest common divisor of numbers 990, 750, 249, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 750, 249, 918 is 3.
1. What is the GCD of 990, 750, 249, 918?
GCD of given numbers 990, 750, 249, 918 is 3
2. How to calculate the greatest common divisor of 990, 750, 249, 918?
We can find the highest common divisor of 990, 750, 249, 918 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 990, 750, 249, 918 i.e 3.
3. How can I use the GCD of 990, 750, 249, 918Calculator?
Out the numbers 990, 750, 249, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.