Online GCD Calculator is useful to find the GCD of 333, 654, 675 quickly. Get the easiest ways to solve the greatest common divisor of 333, 654, 675 i.e 3 in different methods as follows.
Given Input numbers are 333, 654, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 333 :
The positive integer divisors of 333 that completely divides 333 are.
1, 3, 9, 37, 111, 333
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (333, 654, 675) = 3.
Given numbers are 333, 654, 675
The list of prime factors of all numbers are
Prime factors of 333 are 3 x 3 x 37
Prime factors of 654 are 2 x 3 x 109
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 333, 654, 675 is 3.
Given numbers are 333, 654, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(333, 654) = 72594
GCD(333, 654) = ( 333 x 654 ) / 72594
= 333 / 654
= 333
Step2:
LCM(3, 675) = 675
GCD(3, 675) = ( 3 x 675 ) / 675
= 3 / 675
= 3
So, Greatest Common Divisor of 333, 654, 675 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 333, 654, 675
The greatest common divisor of numbers 333, 654, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 333, 654, 675 is 3.
1. What is the GCD of 333, 654, 675?
GCD of given numbers 333, 654, 675 is 3
2. How to calculate the greatest common divisor of 333, 654, 675?
We can find the highest common divisor of 333, 654, 675 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 333, 654, 675 i.e 3.
3. How can I use the GCD of 333, 654, 675Calculator?
Out the numbers 333, 654, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.