Online GCD Calculator is useful to find the GCD of 104, 986, 368, 788 quickly. Get the easiest ways to solve the greatest common divisor of 104, 986, 368, 788 i.e 2 in different methods as follows.
Given Input numbers are 104, 986, 368, 788
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
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 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
GCD of numbers is the greatest common divisor
So, the GCD (104, 986, 368, 788) = 2.
Given numbers are 104, 986, 368, 788
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 986 are 2 x 17 x 29
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 788 are 2 x 2 x 197
The highest common occurrence is 21
Therefore, GCD of 104, 986, 368, 788 is 2.
Given numbers are 104, 986, 368, 788
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 986) = 51272
GCD(104, 986) = ( 104 x 986 ) / 51272
= 104 / 986
= 104
Step2:
LCM(2, 368) = 368
GCD(2, 368) = ( 2 x 368 ) / 368
= 2 / 368
= 2
Step3:
LCM(2, 788) = 788
GCD(2, 788) = ( 2 x 788 ) / 788
= 2 / 788
= 2
So, Greatest Common Divisor of 104, 986, 368, 788 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 104, 986, 368, 788
The greatest common divisor of numbers 104, 986, 368, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 986, 368, 788 is 2.
1. What is the GCD of 104, 986, 368, 788?
GCD of given numbers 104, 986, 368, 788 is 2
2. How to calculate the greatest common divisor of 104, 986, 368, 788?
We can find the highest common divisor of 104, 986, 368, 788 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 104, 986, 368, 788 i.e 2.
3. How can I use the GCD of 104, 986, 368, 788Calculator?
Out the numbers 104, 986, 368, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.