Online GCD Calculator is useful to find the GCD of 316, 176, 314 quickly. Get the easiest ways to solve the greatest common divisor of 316, 176, 314 i.e 2 in different methods as follows.
Given Input numbers are 316, 176, 314
In the factoring method, we have to find the divisors of all numbers
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (316, 176, 314) = 2.
Given numbers are 316, 176, 314
The list of prime factors of all numbers are
Prime factors of 316 are 2 x 2 x 79
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 314 are 2 x 157
The highest common occurrence is 21
Therefore, GCD of 316, 176, 314 is 2.
Given numbers are 316, 176, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(316, 176) = 13904
GCD(316, 176) = ( 316 x 176 ) / 13904
= 316 / 176
= 316
Step2:
LCM(4, 314) = 628
GCD(4, 314) = ( 4 x 314 ) / 628
= 4 / 314
= 4
So, Greatest Common Divisor of 316, 176, 314 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 316, 176, 314
The greatest common divisor of numbers 316, 176, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 176, 314 is 2.
1. What is the GCD of 316, 176, 314?
GCD of given numbers 316, 176, 314 is 2
2. How to calculate the greatest common divisor of 316, 176, 314?
We can find the highest common divisor of 316, 176, 314 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 316, 176, 314 i.e 2.
3. How can I use the GCD of 316, 176, 314Calculator?
Out the numbers 316, 176, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.