Online GCD Calculator is useful to find the GCD of 648, 387, 324 quickly. Get the easiest ways to solve the greatest common divisor of 648, 387, 324 i.e 9 in different methods as follows.
Given Input numbers are 648, 387, 324
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 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (648, 387, 324) = 9.
Given numbers are 648, 387, 324
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 387 are 3 x 3 x 43
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 32
Therefore, GCD of 648, 387, 324 is 9.
Given numbers are 648, 387, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(648, 387) = 27864
GCD(648, 387) = ( 648 x 387 ) / 27864
= 648 / 387
= 648
Step2:
LCM(9, 324) = 324
GCD(9, 324) = ( 9 x 324 ) / 324
= 9 / 324
= 9
So, Greatest Common Divisor of 648, 387, 324 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 648, 387, 324
The greatest common divisor of numbers 648, 387, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 387, 324 is 9.
1. What is the GCD of 648, 387, 324?
GCD of given numbers 648, 387, 324 is 9
2. How to calculate the greatest common divisor of 648, 387, 324?
We can find the highest common divisor of 648, 387, 324 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, 387, 324 i.e 9.
3. How can I use the GCD of 648, 387, 324Calculator?
Out the numbers 648, 387, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.