Online GCD Calculator is useful to find the GCD of 216, 142, 176, 314 quickly. Get the easiest ways to solve the greatest common divisor of 216, 142, 176, 314 i.e 2 in different methods as follows.
Given Input numbers are 216, 142, 176, 314
In the factoring method, we have to find the divisors of all numbers
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
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 (216, 142, 176, 314) = 2.
Given numbers are 216, 142, 176, 314
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 142 are 2 x 71
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 216, 142, 176, 314 is 2.
Given numbers are 216, 142, 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(216, 142) = 15336
GCD(216, 142) = ( 216 x 142 ) / 15336
= 216 / 142
= 216
Step2:
LCM(2, 176) = 176
GCD(2, 176) = ( 2 x 176 ) / 176
= 2 / 176
= 2
Step3:
LCM(2, 314) = 314
GCD(2, 314) = ( 2 x 314 ) / 314
= 2 / 314
= 2
So, Greatest Common Divisor of 216, 142, 176, 314 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 142, 176, 314
The greatest common divisor of numbers 216, 142, 176, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 142, 176, 314 is 2.
1. What is the GCD of 216, 142, 176, 314?
GCD of given numbers 216, 142, 176, 314 is 2
2. How to calculate the greatest common divisor of 216, 142, 176, 314?
We can find the highest common divisor of 216, 142, 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 216, 142, 176, 314 i.e 2.
3. How can I use the GCD of 216, 142, 176, 314Calculator?
Out the numbers 216, 142, 176, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.