Online GCD Calculator is useful to find the GCD of 630, 728, 496, 216 quickly. Get the easiest ways to solve the greatest common divisor of 630, 728, 496, 216 i.e 2 in different methods as follows.
Given Input numbers are 630, 728, 496, 216
In the factoring method, we have to find the divisors of all numbers
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 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
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 (630, 728, 496, 216) = 2.
Given numbers are 630, 728, 496, 216
The list of prime factors of all numbers are
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 630, 728, 496, 216 is 2.
Given numbers are 630, 728, 496, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 728) = 32760
GCD(630, 728) = ( 630 x 728 ) / 32760
= 630 / 728
= 630
Step2:
LCM(14, 496) = 3472
GCD(14, 496) = ( 14 x 496 ) / 3472
= 14 / 496
= 14
Step3:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
So, Greatest Common Divisor of 630, 728, 496, 216 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 630, 728, 496, 216
The greatest common divisor of numbers 630, 728, 496, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 728, 496, 216 is 2.
1. What is the GCD of 630, 728, 496, 216?
GCD of given numbers 630, 728, 496, 216 is 2
2. How to calculate the greatest common divisor of 630, 728, 496, 216?
We can find the highest common divisor of 630, 728, 496, 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 630, 728, 496, 216 i.e 2.
3. How can I use the GCD of 630, 728, 496, 216Calculator?
Out the numbers 630, 728, 496, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.