Online GCD Calculator is useful to find the GCD of 310, 302, 488, 998 quickly. Get the easiest ways to solve the greatest common divisor of 310, 302, 488, 998 i.e 2 in different methods as follows.
Given Input numbers are 310, 302, 488, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (310, 302, 488, 998) = 2.
Given numbers are 310, 302, 488, 998
The list of prime factors of all numbers are
Prime factors of 310 are 2 x 5 x 31
Prime factors of 302 are 2 x 151
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 998 are 2 x 499
The highest common occurrence is 21
Therefore, GCD of 310, 302, 488, 998 is 2.
Given numbers are 310, 302, 488, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(310, 302) = 46810
GCD(310, 302) = ( 310 x 302 ) / 46810
= 310 / 302
= 310
Step2:
LCM(2, 488) = 488
GCD(2, 488) = ( 2 x 488 ) / 488
= 2 / 488
= 2
Step3:
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
= 2 / 998
= 2
So, Greatest Common Divisor of 310, 302, 488, 998 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 310, 302, 488, 998
The greatest common divisor of numbers 310, 302, 488, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 302, 488, 998 is 2.
1. What is the GCD of 310, 302, 488, 998?
GCD of given numbers 310, 302, 488, 998 is 2
2. How to calculate the greatest common divisor of 310, 302, 488, 998?
We can find the highest common divisor of 310, 302, 488, 998 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 310, 302, 488, 998 i.e 2.
3. How can I use the GCD of 310, 302, 488, 998Calculator?
Out the numbers 310, 302, 488, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.