Online GCD Calculator is useful to find the GCD of 336, 216, 440 quickly. Get the easiest ways to solve the greatest common divisor of 336, 216, 440 i.e 8 in different methods as follows.
Given Input numbers are 336, 216, 440
In the factoring method, we have to find the divisors of all numbers
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 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 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
GCD of numbers is the greatest common divisor
So, the GCD (336, 216, 440) = 8.
Given numbers are 336, 216, 440
The list of prime factors of all numbers are
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
The highest common occurrence is 23
Therefore, GCD of 336, 216, 440 is 8.
Given numbers are 336, 216, 440
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(336, 216) = 3024
GCD(336, 216) = ( 336 x 216 ) / 3024
= 336 / 216
= 336
Step2:
LCM(24, 440) = 1320
GCD(24, 440) = ( 24 x 440 ) / 1320
= 24 / 440
= 24
So, Greatest Common Divisor of 336, 216, 440 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 336, 216, 440
The greatest common divisor of numbers 336, 216, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 216, 440 is 8.
1. What is the GCD of 336, 216, 440?
GCD of given numbers 336, 216, 440 is 8
2. How to calculate the greatest common divisor of 336, 216, 440?
We can find the highest common divisor of 336, 216, 440 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 336, 216, 440 i.e 8.
3. How can I use the GCD of 336, 216, 440Calculator?
Out the numbers 336, 216, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.