Online GCD Calculator is useful to find the GCD of 918, 369, 111 quickly. Get the easiest ways to solve the greatest common divisor of 918, 369, 111 i.e 3 in different methods as follows.
Given Input numbers are 918, 369, 111
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
GCD of numbers is the greatest common divisor
So, the GCD (918, 369, 111) = 3.
Given numbers are 918, 369, 111
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 369 are 3 x 3 x 41
Prime factors of 111 are 3 x 37
The highest common occurrence is 31
Therefore, GCD of 918, 369, 111 is 3.
Given numbers are 918, 369, 111
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 369) = 37638
GCD(918, 369) = ( 918 x 369 ) / 37638
= 918 / 369
= 918
Step2:
LCM(9, 111) = 333
GCD(9, 111) = ( 9 x 111 ) / 333
= 9 / 111
= 9
So, Greatest Common Divisor of 918, 369, 111 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 369, 111
The greatest common divisor of numbers 918, 369, 111 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 369, 111 is 3.
1. What is the GCD of 918, 369, 111?
GCD of given numbers 918, 369, 111 is 3
2. How to calculate the greatest common divisor of 918, 369, 111?
We can find the highest common divisor of 918, 369, 111 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 918, 369, 111 i.e 3.
3. How can I use the GCD of 918, 369, 111Calculator?
Out the numbers 918, 369, 111 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.