Online GCD Calculator is useful to find the GCD of 918, 411, 330, 441 quickly. Get the easiest ways to solve the greatest common divisor of 918, 411, 330, 441 i.e 3 in different methods as follows.
Given Input numbers are 918, 411, 330, 441
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 411 :
The positive integer divisors of 411 that completely divides 411 are.
1, 3, 137, 411
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 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
GCD of numbers is the greatest common divisor
So, the GCD (918, 411, 330, 441) = 3.
Given numbers are 918, 411, 330, 441
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 411 are 3 x 137
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 441 are 3 x 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 918, 411, 330, 441 is 3.
Given numbers are 918, 411, 330, 441
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 411) = 125766
GCD(918, 411) = ( 918 x 411 ) / 125766
= 918 / 411
= 918
Step2:
LCM(3, 330) = 330
GCD(3, 330) = ( 3 x 330 ) / 330
= 3 / 330
= 3
Step3:
LCM(3, 441) = 441
GCD(3, 441) = ( 3 x 441 ) / 441
= 3 / 441
= 3
So, Greatest Common Divisor of 918, 411, 330, 441 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 411, 330, 441
The greatest common divisor of numbers 918, 411, 330, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 411, 330, 441 is 3.
1. What is the GCD of 918, 411, 330, 441?
GCD of given numbers 918, 411, 330, 441 is 3
2. How to calculate the greatest common divisor of 918, 411, 330, 441?
We can find the highest common divisor of 918, 411, 330, 441 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, 411, 330, 441 i.e 3.
3. How can I use the GCD of 918, 411, 330, 441Calculator?
Out the numbers 918, 411, 330, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.