Online GCD Calculator is useful to find the GCD of 684, 384, 278, 216 quickly. Get the easiest ways to solve the greatest common divisor of 684, 384, 278, 216 i.e 2 in different methods as follows.
Given Input numbers are 684, 384, 278, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
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 (684, 384, 278, 216) = 2.
Given numbers are 684, 384, 278, 216
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 278 are 2 x 139
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 684, 384, 278, 216 is 2.
Given numbers are 684, 384, 278, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 384) = 21888
GCD(684, 384) = ( 684 x 384 ) / 21888
= 684 / 384
= 684
Step2:
LCM(12, 278) = 1668
GCD(12, 278) = ( 12 x 278 ) / 1668
= 12 / 278
= 12
Step3:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
So, Greatest Common Divisor of 684, 384, 278, 216 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 384, 278, 216
The greatest common divisor of numbers 684, 384, 278, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 384, 278, 216 is 2.
1. What is the GCD of 684, 384, 278, 216?
GCD of given numbers 684, 384, 278, 216 is 2
2. How to calculate the greatest common divisor of 684, 384, 278, 216?
We can find the highest common divisor of 684, 384, 278, 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 684, 384, 278, 216 i.e 2.
3. How can I use the GCD of 684, 384, 278, 216Calculator?
Out the numbers 684, 384, 278, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.