Online GCD Calculator is useful to find the GCD of 984, 648, 450, 990 quickly. Get the easiest ways to solve the greatest common divisor of 984, 648, 450, 990 i.e 6 in different methods as follows.
Given Input numbers are 984, 648, 450, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
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
GCD of numbers is the greatest common divisor
So, the GCD (984, 648, 450, 990) = 6.
Given numbers are 984, 648, 450, 990
The list of prime factors of all numbers are
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 984, 648, 450, 990 is 6.
Given numbers are 984, 648, 450, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 648) = 26568
GCD(984, 648) = ( 984 x 648 ) / 26568
= 984 / 648
= 984
Step2:
LCM(24, 450) = 1800
GCD(24, 450) = ( 24 x 450 ) / 1800
= 24 / 450
= 24
Step3:
LCM(6, 990) = 990
GCD(6, 990) = ( 6 x 990 ) / 990
= 6 / 990
= 6
So, Greatest Common Divisor of 984, 648, 450, 990 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 984, 648, 450, 990
The greatest common divisor of numbers 984, 648, 450, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 648, 450, 990 is 6.
1. What is the GCD of 984, 648, 450, 990?
GCD of given numbers 984, 648, 450, 990 is 6
2. How to calculate the greatest common divisor of 984, 648, 450, 990?
We can find the highest common divisor of 984, 648, 450, 990 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 984, 648, 450, 990 i.e 6.
3. How can I use the GCD of 984, 648, 450, 990Calculator?
Out the numbers 984, 648, 450, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.