Online GCD Calculator is useful to find the GCD of 648, 318, 982, 864 quickly. Get the easiest ways to solve the greatest common divisor of 648, 318, 982, 864 i.e 2 in different methods as follows.
Given Input numbers are 648, 318, 982, 864
In the factoring method, we have to find the divisors of all numbers
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 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
GCD of numbers is the greatest common divisor
So, the GCD (648, 318, 982, 864) = 2.
Given numbers are 648, 318, 982, 864
The list of prime factors of all numbers are
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 318 are 2 x 3 x 53
Prime factors of 982 are 2 x 491
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 648, 318, 982, 864 is 2.
Given numbers are 648, 318, 982, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 318) = 34344
GCD(648, 318) = ( 648 x 318 ) / 34344
= 648 / 318
= 648
Step2:
LCM(6, 982) = 2946
GCD(6, 982) = ( 6 x 982 ) / 2946
= 6 / 982
= 6
Step3:
LCM(2, 864) = 864
GCD(2, 864) = ( 2 x 864 ) / 864
= 2 / 864
= 2
So, Greatest Common Divisor of 648, 318, 982, 864 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 648, 318, 982, 864
The greatest common divisor of numbers 648, 318, 982, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 318, 982, 864 is 2.
1. What is the GCD of 648, 318, 982, 864?
GCD of given numbers 648, 318, 982, 864 is 2
2. How to calculate the greatest common divisor of 648, 318, 982, 864?
We can find the highest common divisor of 648, 318, 982, 864 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 648, 318, 982, 864 i.e 2.
3. How can I use the GCD of 648, 318, 982, 864Calculator?
Out the numbers 648, 318, 982, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.