Online GCD Calculator is useful to find the GCD of 330, 460, 646, 200 quickly. Get the easiest ways to solve the greatest common divisor of 330, 460, 646, 200 i.e 2 in different methods as follows.
Given Input numbers are 330, 460, 646, 200
In the factoring method, we have to find the divisors of all numbers
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 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (330, 460, 646, 200) = 2.
Given numbers are 330, 460, 646, 200
The list of prime factors of all numbers are
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 646 are 2 x 17 x 19
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 330, 460, 646, 200 is 2.
Given numbers are 330, 460, 646, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(330, 460) = 15180
GCD(330, 460) = ( 330 x 460 ) / 15180
= 330 / 460
= 330
Step2:
LCM(10, 646) = 3230
GCD(10, 646) = ( 10 x 646 ) / 3230
= 10 / 646
= 10
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 330, 460, 646, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 330, 460, 646, 200
The greatest common divisor of numbers 330, 460, 646, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 460, 646, 200 is 2.
1. What is the GCD of 330, 460, 646, 200?
GCD of given numbers 330, 460, 646, 200 is 2
2. How to calculate the greatest common divisor of 330, 460, 646, 200?
We can find the highest common divisor of 330, 460, 646, 200 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 330, 460, 646, 200 i.e 2.
3. How can I use the GCD of 330, 460, 646, 200Calculator?
Out the numbers 330, 460, 646, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.