Online GCD Calculator is useful to find the GCD of 390, 120, 864, 201 quickly. Get the easiest ways to solve the greatest common divisor of 390, 120, 864, 201 i.e 3 in different methods as follows.
Given Input numbers are 390, 120, 864, 201
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 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
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
GCD of numbers is the greatest common divisor
So, the GCD (390, 120, 864, 201) = 3.
Given numbers are 390, 120, 864, 201
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 201 are 3 x 67
The highest common occurrence is 31
Therefore, GCD of 390, 120, 864, 201 is 3.
Given numbers are 390, 120, 864, 201
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 120) = 1560
GCD(390, 120) = ( 390 x 120 ) / 1560
= 390 / 120
= 390
Step2:
LCM(30, 864) = 4320
GCD(30, 864) = ( 30 x 864 ) / 4320
= 30 / 864
= 30
Step3:
LCM(6, 201) = 402
GCD(6, 201) = ( 6 x 201 ) / 402
= 6 / 201
= 6
So, Greatest Common Divisor of 390, 120, 864, 201 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 120, 864, 201
The greatest common divisor of numbers 390, 120, 864, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 120, 864, 201 is 3.
1. What is the GCD of 390, 120, 864, 201?
GCD of given numbers 390, 120, 864, 201 is 3
2. How to calculate the greatest common divisor of 390, 120, 864, 201?
We can find the highest common divisor of 390, 120, 864, 201 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, 120, 864, 201 i.e 3.
3. How can I use the GCD of 390, 120, 864, 201Calculator?
Out the numbers 390, 120, 864, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.