Online GCD Calculator is useful to find the GCD of 369, 303, 135 quickly. Get the easiest ways to solve the greatest common divisor of 369, 303, 135 i.e 3 in different methods as follows.
Given Input numbers are 369, 303, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
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 (369, 303, 135) = 3.
Given numbers are 369, 303, 135
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 303 are 3 x 101
Prime factors of 135 are 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 369, 303, 135 is 3.
Given numbers are 369, 303, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 303) = 37269
GCD(369, 303) = ( 369 x 303 ) / 37269
= 369 / 303
= 369
Step2:
LCM(3, 135) = 135
GCD(3, 135) = ( 3 x 135 ) / 135
= 3 / 135
= 3
So, Greatest Common Divisor of 369, 303, 135 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 369, 303, 135
The greatest common divisor of numbers 369, 303, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 303, 135 is 3.
1. What is the GCD of 369, 303, 135?
GCD of given numbers 369, 303, 135 is 3
2. How to calculate the greatest common divisor of 369, 303, 135?
We can find the highest common divisor of 369, 303, 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 369, 303, 135 i.e 3.
3. How can I use the GCD of 369, 303, 135Calculator?
Out the numbers 369, 303, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.