Online GCD Calculator is useful to find the GCD of 478, 218, 990, 200 quickly. Get the easiest ways to solve the greatest common divisor of 478, 218, 990, 200 i.e 2 in different methods as follows.
Given Input numbers are 478, 218, 990, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
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 (478, 218, 990, 200) = 2.
Given numbers are 478, 218, 990, 200
The list of prime factors of all numbers are
Prime factors of 478 are 2 x 239
Prime factors of 218 are 2 x 109
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 478, 218, 990, 200 is 2.
Given numbers are 478, 218, 990, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(478, 218) = 52102
GCD(478, 218) = ( 478 x 218 ) / 52102
= 478 / 218
= 478
Step2:
LCM(2, 990) = 990
GCD(2, 990) = ( 2 x 990 ) / 990
= 2 / 990
= 2
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 478, 218, 990, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 478, 218, 990, 200
The greatest common divisor of numbers 478, 218, 990, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 218, 990, 200 is 2.
1. What is the GCD of 478, 218, 990, 200?
GCD of given numbers 478, 218, 990, 200 is 2
2. How to calculate the greatest common divisor of 478, 218, 990, 200?
We can find the highest common divisor of 478, 218, 990, 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 478, 218, 990, 200 i.e 2.
3. How can I use the GCD of 478, 218, 990, 200Calculator?
Out the numbers 478, 218, 990, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.