Online GCD Calculator is useful to find the GCD of 369, 234, 915 quickly. Get the easiest ways to solve the greatest common divisor of 369, 234, 915 i.e 3 in different methods as follows.
Given Input numbers are 369, 234, 915
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 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
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 (369, 234, 915) = 3.
Given numbers are 369, 234, 915
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 915 are 3 x 5 x 61
The highest common occurrence is 31
Therefore, GCD of 369, 234, 915 is 3.
Given numbers are 369, 234, 915
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 234) = 9594
GCD(369, 234) = ( 369 x 234 ) / 9594
= 369 / 234
= 369
Step2:
LCM(9, 915) = 2745
GCD(9, 915) = ( 9 x 915 ) / 2745
= 9 / 915
= 9
So, Greatest Common Divisor of 369, 234, 915 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 369, 234, 915
The greatest common divisor of numbers 369, 234, 915 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 234, 915 is 3.
1. What is the GCD of 369, 234, 915?
GCD of given numbers 369, 234, 915 is 3
2. How to calculate the greatest common divisor of 369, 234, 915?
We can find the highest common divisor of 369, 234, 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 369, 234, 915 i.e 3.
3. How can I use the GCD of 369, 234, 915Calculator?
Out the numbers 369, 234, 915 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.