Online GCD Calculator is useful to find the GCD of 470, 916, 200, 818 quickly. Get the easiest ways to solve the greatest common divisor of 470, 916, 200, 818 i.e 2 in different methods as follows.
Given Input numbers are 470, 916, 200, 818
In the factoring method, we have to find the divisors of all numbers
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
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
Divisors of 818 :
The positive integer divisors of 818 that completely divides 818 are.
1, 2, 409, 818
GCD of numbers is the greatest common divisor
So, the GCD (470, 916, 200, 818) = 2.
Given numbers are 470, 916, 200, 818
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 916 are 2 x 2 x 229
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 818 are 2 x 409
The highest common occurrence is 21
Therefore, GCD of 470, 916, 200, 818 is 2.
Given numbers are 470, 916, 200, 818
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 916) = 215260
GCD(470, 916) = ( 470 x 916 ) / 215260
= 470 / 916
= 470
Step2:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
Step3:
LCM(2, 818) = 818
GCD(2, 818) = ( 2 x 818 ) / 818
= 2 / 818
= 2
So, Greatest Common Divisor of 470, 916, 200, 818 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 470, 916, 200, 818
The greatest common divisor of numbers 470, 916, 200, 818 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 916, 200, 818 is 2.
1. What is the GCD of 470, 916, 200, 818?
GCD of given numbers 470, 916, 200, 818 is 2
2. How to calculate the greatest common divisor of 470, 916, 200, 818?
We can find the highest common divisor of 470, 916, 200, 818 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 470, 916, 200, 818 i.e 2.
3. How can I use the GCD of 470, 916, 200, 818Calculator?
Out the numbers 470, 916, 200, 818 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.