Online GCD Calculator is useful to find the GCD of 364, 986, 990, 120 quickly. Get the easiest ways to solve the greatest common divisor of 364, 986, 990, 120 i.e 2 in different methods as follows.
Given Input numbers are 364, 986, 990, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (364, 986, 990, 120) = 2.
Given numbers are 364, 986, 990, 120
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 986 are 2 x 17 x 29
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 364, 986, 990, 120 is 2.
Given numbers are 364, 986, 990, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 986) = 179452
GCD(364, 986) = ( 364 x 986 ) / 179452
= 364 / 986
= 364
Step2:
LCM(2, 990) = 990
GCD(2, 990) = ( 2 x 990 ) / 990
= 2 / 990
= 2
Step3:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
So, Greatest Common Divisor of 364, 986, 990, 120 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 364, 986, 990, 120
The greatest common divisor of numbers 364, 986, 990, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 986, 990, 120 is 2.
1. What is the GCD of 364, 986, 990, 120?
GCD of given numbers 364, 986, 990, 120 is 2
2. How to calculate the greatest common divisor of 364, 986, 990, 120?
We can find the highest common divisor of 364, 986, 990, 120 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 364, 986, 990, 120 i.e 2.
3. How can I use the GCD of 364, 986, 990, 120Calculator?
Out the numbers 364, 986, 990, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.