Online GCD Calculator is useful to find the GCD of 330, 162, 243, 135 quickly. Get the easiest ways to solve the greatest common divisor of 330, 162, 243, 135 i.e 3 in different methods as follows.
Given Input numbers are 330, 162, 243, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (330, 162, 243, 135) = 3.
Given numbers are 330, 162, 243, 135
The list of prime factors of all numbers are
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 135 are 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 330, 162, 243, 135 is 3.
Given numbers are 330, 162, 243, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(330, 162) = 8910
GCD(330, 162) = ( 330 x 162 ) / 8910
= 330 / 162
= 330
Step2:
LCM(6, 243) = 486
GCD(6, 243) = ( 6 x 243 ) / 486
= 6 / 243
= 6
Step3:
LCM(3, 135) = 135
GCD(3, 135) = ( 3 x 135 ) / 135
= 3 / 135
= 3
So, Greatest Common Divisor of 330, 162, 243, 135 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 330, 162, 243, 135
The greatest common divisor of numbers 330, 162, 243, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 162, 243, 135 is 3.
1. What is the GCD of 330, 162, 243, 135?
GCD of given numbers 330, 162, 243, 135 is 3
2. How to calculate the greatest common divisor of 330, 162, 243, 135?
We can find the highest common divisor of 330, 162, 243, 135 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 330, 162, 243, 135 i.e 3.
3. How can I use the GCD of 330, 162, 243, 135Calculator?
Out the numbers 330, 162, 243, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.