Online GCD Calculator is useful to find the GCD of 216, 422, 956, 312 quickly. Get the easiest ways to solve the greatest common divisor of 216, 422, 956, 312 i.e 2 in different methods as follows.
Given Input numbers are 216, 422, 956, 312
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 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (216, 422, 956, 312) = 2.
Given numbers are 216, 422, 956, 312
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 422 are 2 x 211
Prime factors of 956 are 2 x 2 x 239
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 216, 422, 956, 312 is 2.
Given numbers are 216, 422, 956, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 422) = 45576
GCD(216, 422) = ( 216 x 422 ) / 45576
= 216 / 422
= 216
Step2:
LCM(2, 956) = 956
GCD(2, 956) = ( 2 x 956 ) / 956
= 2 / 956
= 2
Step3:
LCM(2, 312) = 312
GCD(2, 312) = ( 2 x 312 ) / 312
= 2 / 312
= 2
So, Greatest Common Divisor of 216, 422, 956, 312 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 422, 956, 312
The greatest common divisor of numbers 216, 422, 956, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 422, 956, 312 is 2.
1. What is the GCD of 216, 422, 956, 312?
GCD of given numbers 216, 422, 956, 312 is 2
2. How to calculate the greatest common divisor of 216, 422, 956, 312?
We can find the highest common divisor of 216, 422, 956, 312 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, 422, 956, 312 i.e 2.
3. How can I use the GCD of 216, 422, 956, 312Calculator?
Out the numbers 216, 422, 956, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.