Online GCD Calculator is useful to find the GCD of 135, 183, 384, 915 quickly. Get the easiest ways to solve the greatest common divisor of 135, 183, 384, 915 i.e 3 in different methods as follows.
Given Input numbers are 135, 183, 384, 915
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 183 :
The positive integer divisors of 183 that completely divides 183 are.
1, 3, 61, 183
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 915 :
The positive integer divisors of 915 that completely divides 915 are.
1, 3, 5, 15, 61, 183, 305, 915
GCD of numbers is the greatest common divisor
So, the GCD (135, 183, 384, 915) = 3.
Given numbers are 135, 183, 384, 915
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 183 are 3 x 61
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 915 are 3 x 5 x 61
The highest common occurrence is 31
Therefore, GCD of 135, 183, 384, 915 is 3.
Given numbers are 135, 183, 384, 915
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 183) = 8235
GCD(135, 183) = ( 135 x 183 ) / 8235
= 135 / 183
= 135
Step2:
LCM(3, 384) = 384
GCD(3, 384) = ( 3 x 384 ) / 384
= 3 / 384
= 3
Step3:
LCM(3, 915) = 915
GCD(3, 915) = ( 3 x 915 ) / 915
= 3 / 915
= 3
So, Greatest Common Divisor of 135, 183, 384, 915 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 183, 384, 915
The greatest common divisor of numbers 135, 183, 384, 915 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 183, 384, 915 is 3.
1. What is the GCD of 135, 183, 384, 915?
GCD of given numbers 135, 183, 384, 915 is 3
2. How to calculate the greatest common divisor of 135, 183, 384, 915?
We can find the highest common divisor of 135, 183, 384, 915 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 135, 183, 384, 915 i.e 3.
3. How can I use the GCD of 135, 183, 384, 915Calculator?
Out the numbers 135, 183, 384, 915 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.