Online GCD Calculator is useful to find the GCD of 216, 336, 470, 110 quickly. Get the easiest ways to solve the greatest common divisor of 216, 336, 470, 110 i.e 2 in different methods as follows.
Given Input numbers are 216, 336, 470, 110
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
GCD of numbers is the greatest common divisor
So, the GCD (216, 336, 470, 110) = 2.
Given numbers are 216, 336, 470, 110
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 470 are 2 x 5 x 47
Prime factors of 110 are 2 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 216, 336, 470, 110 is 2.
Given numbers are 216, 336, 470, 110
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 336) = 3024
GCD(216, 336) = ( 216 x 336 ) / 3024
= 216 / 336
= 216
Step2:
LCM(24, 470) = 5640
GCD(24, 470) = ( 24 x 470 ) / 5640
= 24 / 470
= 24
Step3:
LCM(2, 110) = 110
GCD(2, 110) = ( 2 x 110 ) / 110
= 2 / 110
= 2
So, Greatest Common Divisor of 216, 336, 470, 110 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 336, 470, 110
The greatest common divisor of numbers 216, 336, 470, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 336, 470, 110 is 2.
1. What is the GCD of 216, 336, 470, 110?
GCD of given numbers 216, 336, 470, 110 is 2
2. How to calculate the greatest common divisor of 216, 336, 470, 110?
We can find the highest common divisor of 216, 336, 470, 110 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 216, 336, 470, 110 i.e 2.
3. How can I use the GCD of 216, 336, 470, 110Calculator?
Out the numbers 216, 336, 470, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.