Online GCD Calculator is useful to find the GCD of 776, 684, 112 quickly. Get the easiest ways to solve the greatest common divisor of 776, 684, 112 i.e 4 in different methods as follows.
Given Input numbers are 776, 684, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 776 :
The positive integer divisors of 776 that completely divides 776 are.
1, 2, 4, 8, 97, 194, 388, 776
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 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 (776, 684, 112) = 4.
Given numbers are 776, 684, 112
The list of prime factors of all numbers are
Prime factors of 776 are 2 x 2 x 2 x 97
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 22
Therefore, GCD of 776, 684, 112 is 4.
Given numbers are 776, 684, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(776, 684) = 132696
GCD(776, 684) = ( 776 x 684 ) / 132696
= 776 / 684
= 776
Step2:
LCM(4, 112) = 112
GCD(4, 112) = ( 4 x 112 ) / 112
= 4 / 112
= 4
So, Greatest Common Divisor of 776, 684, 112 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 776, 684, 112
The greatest common divisor of numbers 776, 684, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 776, 684, 112 is 4.
1. What is the GCD of 776, 684, 112?
GCD of given numbers 776, 684, 112 is 4
2. How to calculate the greatest common divisor of 776, 684, 112?
We can find the highest common divisor of 776, 684, 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 776, 684, 112 i.e 4.
3. How can I use the GCD of 776, 684, 112Calculator?
Out the numbers 776, 684, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.