Online GCD Calculator is useful to find the GCD of 748, 852, 184, 856 quickly. Get the easiest ways to solve the greatest common divisor of 748, 852, 184, 856 i.e 4 in different methods as follows.
Given Input numbers are 748, 852, 184, 856
In the factoring method, we have to find the divisors of all numbers
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 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
GCD of numbers is the greatest common divisor
So, the GCD (748, 852, 184, 856) = 4.
Given numbers are 748, 852, 184, 856
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 184 are 2 x 2 x 2 x 23
Prime factors of 856 are 2 x 2 x 2 x 107
The highest common occurrence is 22
Therefore, GCD of 748, 852, 184, 856 is 4.
Given numbers are 748, 852, 184, 856
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 852) = 159324
GCD(748, 852) = ( 748 x 852 ) / 159324
= 748 / 852
= 748
Step2:
LCM(4, 184) = 184
GCD(4, 184) = ( 4 x 184 ) / 184
= 4 / 184
= 4
Step3:
LCM(4, 856) = 856
GCD(4, 856) = ( 4 x 856 ) / 856
= 4 / 856
= 4
So, Greatest Common Divisor of 748, 852, 184, 856 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 852, 184, 856
The greatest common divisor of numbers 748, 852, 184, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 852, 184, 856 is 4.
1. What is the GCD of 748, 852, 184, 856?
GCD of given numbers 748, 852, 184, 856 is 4
2. How to calculate the greatest common divisor of 748, 852, 184, 856?
We can find the highest common divisor of 748, 852, 184, 856 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 748, 852, 184, 856 i.e 4.
3. How can I use the GCD of 748, 852, 184, 856Calculator?
Out the numbers 748, 852, 184, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.