Online GCD Calculator is useful to find the GCD of 384, 870, 459, 225 quickly. Get the easiest ways to solve the greatest common divisor of 384, 870, 459, 225 i.e 3 in different methods as follows.
Given Input numbers are 384, 870, 459, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (384, 870, 459, 225) = 3.
Given numbers are 384, 870, 459, 225
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 459 are 3 x 3 x 3 x 17
Prime factors of 225 are 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 384, 870, 459, 225 is 3.
Given numbers are 384, 870, 459, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 870) = 55680
GCD(384, 870) = ( 384 x 870 ) / 55680
= 384 / 870
= 384
Step2:
LCM(6, 459) = 918
GCD(6, 459) = ( 6 x 459 ) / 918
= 6 / 459
= 6
Step3:
LCM(3, 225) = 225
GCD(3, 225) = ( 3 x 225 ) / 225
= 3 / 225
= 3
So, Greatest Common Divisor of 384, 870, 459, 225 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 870, 459, 225
The greatest common divisor of numbers 384, 870, 459, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 870, 459, 225 is 3.
1. What is the GCD of 384, 870, 459, 225?
GCD of given numbers 384, 870, 459, 225 is 3
2. How to calculate the greatest common divisor of 384, 870, 459, 225?
We can find the highest common divisor of 384, 870, 459, 225 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 384, 870, 459, 225 i.e 3.
3. How can I use the GCD of 384, 870, 459, 225Calculator?
Out the numbers 384, 870, 459, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.