Online GCD Calculator is useful to find the GCD of 216, 558, 316, 536 quickly. Get the easiest ways to solve the greatest common divisor of 216, 558, 316, 536 i.e 2 in different methods as follows.
Given Input numbers are 216, 558, 316, 536
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 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
GCD of numbers is the greatest common divisor
So, the GCD (216, 558, 316, 536) = 2.
Given numbers are 216, 558, 316, 536
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 558 are 2 x 3 x 3 x 31
Prime factors of 316 are 2 x 2 x 79
Prime factors of 536 are 2 x 2 x 2 x 67
The highest common occurrence is 21
Therefore, GCD of 216, 558, 316, 536 is 2.
Given numbers are 216, 558, 316, 536
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 558) = 6696
GCD(216, 558) = ( 216 x 558 ) / 6696
= 216 / 558
= 216
Step2:
LCM(18, 316) = 2844
GCD(18, 316) = ( 18 x 316 ) / 2844
= 18 / 316
= 18
Step3:
LCM(2, 536) = 536
GCD(2, 536) = ( 2 x 536 ) / 536
= 2 / 536
= 2
So, Greatest Common Divisor of 216, 558, 316, 536 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 558, 316, 536
The greatest common divisor of numbers 216, 558, 316, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 558, 316, 536 is 2.
1. What is the GCD of 216, 558, 316, 536?
GCD of given numbers 216, 558, 316, 536 is 2
2. How to calculate the greatest common divisor of 216, 558, 316, 536?
We can find the highest common divisor of 216, 558, 316, 536 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, 558, 316, 536 i.e 2.
3. How can I use the GCD of 216, 558, 316, 536Calculator?
Out the numbers 216, 558, 316, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.