Online GCD Calculator is useful to find the GCD of 366, 648, 630, 216 quickly. Get the easiest ways to solve the greatest common divisor of 366, 648, 630, 216 i.e 6 in different methods as follows.
Given Input numbers are 366, 648, 630, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
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 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD of numbers is the greatest common divisor
So, the GCD (366, 648, 630, 216) = 6.
Given numbers are 366, 648, 630, 216
The list of prime factors of all numbers are
Prime factors of 366 are 2 x 3 x 61
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 366, 648, 630, 216 is 6.
Given numbers are 366, 648, 630, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(366, 648) = 39528
GCD(366, 648) = ( 366 x 648 ) / 39528
= 366 / 648
= 366
Step2:
LCM(6, 630) = 630
GCD(6, 630) = ( 6 x 630 ) / 630
= 6 / 630
= 6
Step3:
LCM(6, 216) = 216
GCD(6, 216) = ( 6 x 216 ) / 216
= 6 / 216
= 6
So, Greatest Common Divisor of 366, 648, 630, 216 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 366, 648, 630, 216
The greatest common divisor of numbers 366, 648, 630, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 648, 630, 216 is 6.
1. What is the GCD of 366, 648, 630, 216?
GCD of given numbers 366, 648, 630, 216 is 6
2. How to calculate the greatest common divisor of 366, 648, 630, 216?
We can find the highest common divisor of 366, 648, 630, 216 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 366, 648, 630, 216 i.e 6.
3. How can I use the GCD of 366, 648, 630, 216Calculator?
Out the numbers 366, 648, 630, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.