Online GCD Calculator is useful to find the GCD of 114, 684, 752, 112 quickly. Get the easiest ways to solve the greatest common divisor of 114, 684, 752, 112 i.e 2 in different methods as follows.
Given Input numbers are 114, 684, 752, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (114, 684, 752, 112) = 2.
Given numbers are 114, 684, 752, 112
The list of prime factors of all numbers are
Prime factors of 114 are 2 x 3 x 19
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 114, 684, 752, 112 is 2.
Given numbers are 114, 684, 752, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(114, 684) = 684
GCD(114, 684) = ( 114 x 684 ) / 684
= 114 / 684
= 114
Step2:
LCM(114, 752) = 42864
GCD(114, 752) = ( 114 x 752 ) / 42864
= 114 / 752
= 114
Step3:
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
= 2 / 112
= 2
So, Greatest Common Divisor of 114, 684, 752, 112 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 114, 684, 752, 112
The greatest common divisor of numbers 114, 684, 752, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 684, 752, 112 is 2.
1. What is the GCD of 114, 684, 752, 112?
GCD of given numbers 114, 684, 752, 112 is 2
2. How to calculate the greatest common divisor of 114, 684, 752, 112?
We can find the highest common divisor of 114, 684, 752, 112 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 114, 684, 752, 112 i.e 2.
3. How can I use the GCD of 114, 684, 752, 112Calculator?
Out the numbers 114, 684, 752, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.