Online GCD Calculator is useful to find the GCD of 488, 310, 832, 816 quickly. Get the easiest ways to solve the greatest common divisor of 488, 310, 832, 816 i.e 2 in different methods as follows.
Given Input numbers are 488, 310, 832, 816
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
GCD of numbers is the greatest common divisor
So, the GCD (488, 310, 832, 816) = 2.
Given numbers are 488, 310, 832, 816
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 310 are 2 x 5 x 31
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 488, 310, 832, 816 is 2.
Given numbers are 488, 310, 832, 816
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 310) = 75640
GCD(488, 310) = ( 488 x 310 ) / 75640
= 488 / 310
= 488
Step2:
LCM(2, 832) = 832
GCD(2, 832) = ( 2 x 832 ) / 832
= 2 / 832
= 2
Step3:
LCM(2, 816) = 816
GCD(2, 816) = ( 2 x 816 ) / 816
= 2 / 816
= 2
So, Greatest Common Divisor of 488, 310, 832, 816 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 310, 832, 816
The greatest common divisor of numbers 488, 310, 832, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 310, 832, 816 is 2.
1. What is the GCD of 488, 310, 832, 816?
GCD of given numbers 488, 310, 832, 816 is 2
2. How to calculate the greatest common divisor of 488, 310, 832, 816?
We can find the highest common divisor of 488, 310, 832, 816 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 488, 310, 832, 816 i.e 2.
3. How can I use the GCD of 488, 310, 832, 816Calculator?
Out the numbers 488, 310, 832, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.