Online GCD Calculator is useful to find the GCD of 135, 378, 495 quickly. Get the easiest ways to solve the greatest common divisor of 135, 378, 495 i.e 9 in different methods as follows.
Given Input numbers are 135, 378, 495
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 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
GCD of numbers is the greatest common divisor
So, the GCD (135, 378, 495) = 9.
Given numbers are 135, 378, 495
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 495 are 3 x 3 x 5 x 11
The highest common occurrence is 32
Therefore, GCD of 135, 378, 495 is 9.
Given numbers are 135, 378, 495
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 378) = 1890
GCD(135, 378) = ( 135 x 378 ) / 1890
= 135 / 378
= 135
Step2:
LCM(27, 495) = 1485
GCD(27, 495) = ( 27 x 495 ) / 1485
= 27 / 495
= 27
So, Greatest Common Divisor of 135, 378, 495 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 378, 495
The greatest common divisor of numbers 135, 378, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 378, 495 is 9.
1. What is the GCD of 135, 378, 495?
GCD of given numbers 135, 378, 495 is 9
2. How to calculate the greatest common divisor of 135, 378, 495?
We can find the highest common divisor of 135, 378, 495 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, 378, 495 i.e 9.
3. How can I use the GCD of 135, 378, 495Calculator?
Out the numbers 135, 378, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.