Online GCD Calculator is useful to find the GCD of 104, 856, 748, 878 quickly. Get the easiest ways to solve the greatest common divisor of 104, 856, 748, 878 i.e 2 in different methods as follows.
Given Input numbers are 104, 856, 748, 878
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 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 878 :
The positive integer divisors of 878 that completely divides 878 are.
1, 2, 439, 878
GCD of numbers is the greatest common divisor
So, the GCD (104, 856, 748, 878) = 2.
Given numbers are 104, 856, 748, 878
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 878 are 2 x 439
The highest common occurrence is 21
Therefore, GCD of 104, 856, 748, 878 is 2.
Given numbers are 104, 856, 748, 878
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 856) = 11128
GCD(104, 856) = ( 104 x 856 ) / 11128
= 104 / 856
= 104
Step2:
LCM(8, 748) = 1496
GCD(8, 748) = ( 8 x 748 ) / 1496
= 8 / 748
= 8
Step3:
LCM(4, 878) = 1756
GCD(4, 878) = ( 4 x 878 ) / 1756
= 4 / 878
= 4
So, Greatest Common Divisor of 104, 856, 748, 878 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 104, 856, 748, 878
The greatest common divisor of numbers 104, 856, 748, 878 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 856, 748, 878 is 2.
1. What is the GCD of 104, 856, 748, 878?
GCD of given numbers 104, 856, 748, 878 is 2
2. How to calculate the greatest common divisor of 104, 856, 748, 878?
We can find the highest common divisor of 104, 856, 748, 878 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, 856, 748, 878 i.e 2.
3. How can I use the GCD of 104, 856, 748, 878Calculator?
Out the numbers 104, 856, 748, 878 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.