Online GCD Calculator is useful to find the GCD of 312, 732, 818, 200 quickly. Get the easiest ways to solve the greatest common divisor of 312, 732, 818, 200 i.e 2 in different methods as follows.
Given Input numbers are 312, 732, 818, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 818 :
The positive integer divisors of 818 that completely divides 818 are.
1, 2, 409, 818
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 (312, 732, 818, 200) = 2.
Given numbers are 312, 732, 818, 200
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 818 are 2 x 409
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 312, 732, 818, 200 is 2.
Given numbers are 312, 732, 818, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 732) = 19032
GCD(312, 732) = ( 312 x 732 ) / 19032
= 312 / 732
= 312
Step2:
LCM(12, 818) = 4908
GCD(12, 818) = ( 12 x 818 ) / 4908
= 12 / 818
= 12
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 312, 732, 818, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 732, 818, 200
The greatest common divisor of numbers 312, 732, 818, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 732, 818, 200 is 2.
1. What is the GCD of 312, 732, 818, 200?
GCD of given numbers 312, 732, 818, 200 is 2
2. How to calculate the greatest common divisor of 312, 732, 818, 200?
We can find the highest common divisor of 312, 732, 818, 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 312, 732, 818, 200 i.e 2.
3. How can I use the GCD of 312, 732, 818, 200Calculator?
Out the numbers 312, 732, 818, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.