Online GCD Calculator is useful to find the GCD of 368, 912, 214, 818 quickly. Get the easiest ways to solve the greatest common divisor of 368, 912, 214, 818 i.e 2 in different methods as follows.
Given Input numbers are 368, 912, 214, 818
In the factoring method, we have to find the divisors of all numbers
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 818 :
The positive integer divisors of 818 that completely divides 818 are.
1, 2, 409, 818
GCD of numbers is the greatest common divisor
So, the GCD (368, 912, 214, 818) = 2.
Given numbers are 368, 912, 214, 818
The list of prime factors of all numbers are
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 214 are 2 x 107
Prime factors of 818 are 2 x 409
The highest common occurrence is 21
Therefore, GCD of 368, 912, 214, 818 is 2.
Given numbers are 368, 912, 214, 818
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(368, 912) = 20976
GCD(368, 912) = ( 368 x 912 ) / 20976
= 368 / 912
= 368
Step2:
LCM(16, 214) = 1712
GCD(16, 214) = ( 16 x 214 ) / 1712
= 16 / 214
= 16
Step3:
LCM(2, 818) = 818
GCD(2, 818) = ( 2 x 818 ) / 818
= 2 / 818
= 2
So, Greatest Common Divisor of 368, 912, 214, 818 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 368, 912, 214, 818
The greatest common divisor of numbers 368, 912, 214, 818 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 912, 214, 818 is 2.
1. What is the GCD of 368, 912, 214, 818?
GCD of given numbers 368, 912, 214, 818 is 2
2. How to calculate the greatest common divisor of 368, 912, 214, 818?
We can find the highest common divisor of 368, 912, 214, 818 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 368, 912, 214, 818 i.e 2.
3. How can I use the GCD of 368, 912, 214, 818Calculator?
Out the numbers 368, 912, 214, 818 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.