Online GCD Calculator is useful to find the GCD of 390, 920, 990 quickly. Get the easiest ways to solve the greatest common divisor of 390, 920, 990 i.e 10 in different methods as follows.
Given Input numbers are 390, 920, 990
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 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
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
GCD of numbers is the greatest common divisor
So, the GCD (390, 920, 990) = 10.
Given numbers are 390, 920, 990
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 21 x 51
Therefore, GCD of 390, 920, 990 is 10.
Given numbers are 390, 920, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 920) = 35880
GCD(390, 920) = ( 390 x 920 ) / 35880
= 390 / 920
= 390
Step2:
LCM(10, 990) = 990
GCD(10, 990) = ( 10 x 990 ) / 990
= 10 / 990
= 10
So, Greatest Common Divisor of 390, 920, 990 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 920, 990
The greatest common divisor of numbers 390, 920, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 920, 990 is 10.
1. What is the GCD of 390, 920, 990?
GCD of given numbers 390, 920, 990 is 10
2. How to calculate the greatest common divisor of 390, 920, 990?
We can find the highest common divisor of 390, 920, 990 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, 920, 990 i.e 10.
3. How can I use the GCD of 390, 920, 990Calculator?
Out the numbers 390, 920, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.