Online GCD Calculator is useful to find the GCD of 216, 488, 272 quickly. Get the easiest ways to solve the greatest common divisor of 216, 488, 272 i.e 8 in different methods as follows.
Given Input numbers are 216, 488, 272
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 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (216, 488, 272) = 8.
Given numbers are 216, 488, 272
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 488 are 2 x 2 x 2 x 61
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 23
Therefore, GCD of 216, 488, 272 is 8.
Given numbers are 216, 488, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 488) = 13176
GCD(216, 488) = ( 216 x 488 ) / 13176
= 216 / 488
= 216
Step2:
LCM(8, 272) = 272
GCD(8, 272) = ( 8 x 272 ) / 272
= 8 / 272
= 8
So, Greatest Common Divisor of 216, 488, 272 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 488, 272
The greatest common divisor of numbers 216, 488, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 488, 272 is 8.
1. What is the GCD of 216, 488, 272?
GCD of given numbers 216, 488, 272 is 8
2. How to calculate the greatest common divisor of 216, 488, 272?
We can find the highest common divisor of 216, 488, 272 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, 488, 272 i.e 8.
3. How can I use the GCD of 216, 488, 272Calculator?
Out the numbers 216, 488, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.