Online GCD Calculator is useful to find the GCD of 636, 996, 648 quickly. Get the easiest ways to solve the greatest common divisor of 636, 996, 648 i.e 12 in different methods as follows.
Given Input numbers are 636, 996, 648
In the factoring method, we have to find the divisors of all numbers
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
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
GCD of numbers is the greatest common divisor
So, the GCD (636, 996, 648) = 12.
Given numbers are 636, 996, 648
The list of prime factors of all numbers are
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 22 x 31
Therefore, GCD of 636, 996, 648 is 12.
Given numbers are 636, 996, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(636, 996) = 52788
GCD(636, 996) = ( 636 x 996 ) / 52788
= 636 / 996
= 636
Step2:
LCM(12, 648) = 648
GCD(12, 648) = ( 12 x 648 ) / 648
= 12 / 648
= 12
So, Greatest Common Divisor of 636, 996, 648 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 636, 996, 648
The greatest common divisor of numbers 636, 996, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 996, 648 is 12.
1. What is the GCD of 636, 996, 648?
GCD of given numbers 636, 996, 648 is 12
2. How to calculate the greatest common divisor of 636, 996, 648?
We can find the highest common divisor of 636, 996, 648 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 636, 996, 648 i.e 12.
3. How can I use the GCD of 636, 996, 648Calculator?
Out the numbers 636, 996, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.