Online GCD Calculator is useful to find the GCD of 868, 312, 108, 368 quickly. Get the easiest ways to solve the greatest common divisor of 868, 312, 108, 368 i.e 4 in different methods as follows.
Given Input numbers are 868, 312, 108, 368
In the factoring method, we have to find the divisors of all numbers
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
GCD of numbers is the greatest common divisor
So, the GCD (868, 312, 108, 368) = 4.
Given numbers are 868, 312, 108, 368
The list of prime factors of all numbers are
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
The highest common occurrence is 22
Therefore, GCD of 868, 312, 108, 368 is 4.
Given numbers are 868, 312, 108, 368
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(868, 312) = 67704
GCD(868, 312) = ( 868 x 312 ) / 67704
= 868 / 312
= 868
Step2:
LCM(4, 108) = 108
GCD(4, 108) = ( 4 x 108 ) / 108
= 4 / 108
= 4
Step3:
LCM(4, 368) = 368
GCD(4, 368) = ( 4 x 368 ) / 368
= 4 / 368
= 4
So, Greatest Common Divisor of 868, 312, 108, 368 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 868, 312, 108, 368
The greatest common divisor of numbers 868, 312, 108, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 312, 108, 368 is 4.
1. What is the GCD of 868, 312, 108, 368?
GCD of given numbers 868, 312, 108, 368 is 4
2. How to calculate the greatest common divisor of 868, 312, 108, 368?
We can find the highest common divisor of 868, 312, 108, 368 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 868, 312, 108, 368 i.e 4.
3. How can I use the GCD of 868, 312, 108, 368Calculator?
Out the numbers 868, 312, 108, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.