Online GCD Calculator is useful to find the GCD of 135, 795, 405 quickly. Get the easiest ways to solve the greatest common divisor of 135, 795, 405 i.e 15 in different methods as follows.
Given Input numbers are 135, 795, 405
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 795 :
The positive integer divisors of 795 that completely divides 795 are.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
GCD of numbers is the greatest common divisor
So, the GCD (135, 795, 405) = 15.
Given numbers are 135, 795, 405
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 795 are 3 x 5 x 53
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
The highest common occurrence is 31 x 51
Therefore, GCD of 135, 795, 405 is 15.
Given numbers are 135, 795, 405
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 795) = 7155
GCD(135, 795) = ( 135 x 795 ) / 7155
= 135 / 795
= 135
Step2:
LCM(15, 405) = 405
GCD(15, 405) = ( 15 x 405 ) / 405
= 15 / 405
= 15
So, Greatest Common Divisor of 135, 795, 405 is 15
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 795, 405
The greatest common divisor of numbers 135, 795, 405 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 795, 405 is 15.
1. What is the GCD of 135, 795, 405?
GCD of given numbers 135, 795, 405 is 15
2. How to calculate the greatest common divisor of 135, 795, 405?
We can find the highest common divisor of 135, 795, 405 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, 795, 405 i.e 15.
3. How can I use the GCD of 135, 795, 405Calculator?
Out the numbers 135, 795, 405 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.