Online GCD Calculator is useful to find the GCD of 108, 363, 708, 312 quickly. Get the easiest ways to solve the greatest common divisor of 108, 363, 708, 312 i.e 3 in different methods as follows.
Given Input numbers are 108, 363, 708, 312
In the factoring method, we have to find the divisors of all numbers
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 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
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
GCD of numbers is the greatest common divisor
So, the GCD (108, 363, 708, 312) = 3.
Given numbers are 108, 363, 708, 312
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 363 are 3 x 11 x 11
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 108, 363, 708, 312 is 3.
Given numbers are 108, 363, 708, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 363) = 13068
GCD(108, 363) = ( 108 x 363 ) / 13068
= 108 / 363
= 108
Step2:
LCM(3, 708) = 708
GCD(3, 708) = ( 3 x 708 ) / 708
= 3 / 708
= 3
Step3:
LCM(3, 312) = 312
GCD(3, 312) = ( 3 x 312 ) / 312
= 3 / 312
= 3
So, Greatest Common Divisor of 108, 363, 708, 312 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 363, 708, 312
The greatest common divisor of numbers 108, 363, 708, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 363, 708, 312 is 3.
1. What is the GCD of 108, 363, 708, 312?
GCD of given numbers 108, 363, 708, 312 is 3
2. How to calculate the greatest common divisor of 108, 363, 708, 312?
We can find the highest common divisor of 108, 363, 708, 312 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 108, 363, 708, 312 i.e 3.
3. How can I use the GCD of 108, 363, 708, 312Calculator?
Out the numbers 108, 363, 708, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.