Online GCD Calculator is useful to find the GCD of 712, 116, 696 quickly. Get the easiest ways to solve the greatest common divisor of 712, 116, 696 i.e 4 in different methods as follows.
Given Input numbers are 712, 116, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (712, 116, 696) = 4.
Given numbers are 712, 116, 696
The list of prime factors of all numbers are
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 116 are 2 x 2 x 29
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The highest common occurrence is 22
Therefore, GCD of 712, 116, 696 is 4.
Given numbers are 712, 116, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(712, 116) = 20648
GCD(712, 116) = ( 712 x 116 ) / 20648
= 712 / 116
= 712
Step2:
LCM(4, 696) = 696
GCD(4, 696) = ( 4 x 696 ) / 696
= 4 / 696
= 4
So, Greatest Common Divisor of 712, 116, 696 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 712, 116, 696
The greatest common divisor of numbers 712, 116, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 116, 696 is 4.
1. What is the GCD of 712, 116, 696?
GCD of given numbers 712, 116, 696 is 4
2. How to calculate the greatest common divisor of 712, 116, 696?
We can find the highest common divisor of 712, 116, 696 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 712, 116, 696 i.e 4.
3. How can I use the GCD of 712, 116, 696Calculator?
Out the numbers 712, 116, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.