Online GCD Calculator is useful to find the GCD of 988, 234, 216, 798 quickly. Get the easiest ways to solve the greatest common divisor of 988, 234, 216, 798 i.e 2 in different methods as follows.
Given Input numbers are 988, 234, 216, 798
In the factoring method, we have to find the divisors of all numbers
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
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 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
GCD of numbers is the greatest common divisor
So, the GCD (988, 234, 216, 798) = 2.
Given numbers are 988, 234, 216, 798
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 798 are 2 x 3 x 7 x 19
The highest common occurrence is 21
Therefore, GCD of 988, 234, 216, 798 is 2.
Given numbers are 988, 234, 216, 798
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 234) = 8892
GCD(988, 234) = ( 988 x 234 ) / 8892
= 988 / 234
= 988
Step2:
LCM(26, 216) = 2808
GCD(26, 216) = ( 26 x 216 ) / 2808
= 26 / 216
= 26
Step3:
LCM(2, 798) = 798
GCD(2, 798) = ( 2 x 798 ) / 798
= 2 / 798
= 2
So, Greatest Common Divisor of 988, 234, 216, 798 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 234, 216, 798
The greatest common divisor of numbers 988, 234, 216, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 234, 216, 798 is 2.
1. What is the GCD of 988, 234, 216, 798?
GCD of given numbers 988, 234, 216, 798 is 2
2. How to calculate the greatest common divisor of 988, 234, 216, 798?
We can find the highest common divisor of 988, 234, 216, 798 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 988, 234, 216, 798 i.e 2.
3. How can I use the GCD of 988, 234, 216, 798Calculator?
Out the numbers 988, 234, 216, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.