Online GCD Calculator is useful to find the GCD of 390, 794, 998, 984 quickly. Get the easiest ways to solve the greatest common divisor of 390, 794, 998, 984 i.e 2 in different methods as follows.
Given Input numbers are 390, 794, 998, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 794 :
The positive integer divisors of 794 that completely divides 794 are.
1, 2, 397, 794
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
GCD of numbers is the greatest common divisor
So, the GCD (390, 794, 998, 984) = 2.
Given numbers are 390, 794, 998, 984
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 794 are 2 x 397
Prime factors of 998 are 2 x 499
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 390, 794, 998, 984 is 2.
Given numbers are 390, 794, 998, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 794) = 154830
GCD(390, 794) = ( 390 x 794 ) / 154830
= 390 / 794
= 390
Step2:
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
= 2 / 998
= 2
Step3:
LCM(2, 984) = 984
GCD(2, 984) = ( 2 x 984 ) / 984
= 2 / 984
= 2
So, Greatest Common Divisor of 390, 794, 998, 984 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 794, 998, 984
The greatest common divisor of numbers 390, 794, 998, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 794, 998, 984 is 2.
1. What is the GCD of 390, 794, 998, 984?
GCD of given numbers 390, 794, 998, 984 is 2
2. How to calculate the greatest common divisor of 390, 794, 998, 984?
We can find the highest common divisor of 390, 794, 998, 984 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 390, 794, 998, 984 i.e 2.
3. How can I use the GCD of 390, 794, 998, 984Calculator?
Out the numbers 390, 794, 998, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.