Online GCD Calculator is useful to find the GCD of 472, 310, 984, 232 quickly. Get the easiest ways to solve the greatest common divisor of 472, 310, 984, 232 i.e 2 in different methods as follows.
Given Input numbers are 472, 310, 984, 232
In the factoring method, we have to find the divisors of all numbers
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
GCD of numbers is the greatest common divisor
So, the GCD (472, 310, 984, 232) = 2.
Given numbers are 472, 310, 984, 232
The list of prime factors of all numbers are
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 310 are 2 x 5 x 31
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 232 are 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 472, 310, 984, 232 is 2.
Given numbers are 472, 310, 984, 232
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(472, 310) = 73160
GCD(472, 310) = ( 472 x 310 ) / 73160
= 472 / 310
= 472
Step2:
LCM(2, 984) = 984
GCD(2, 984) = ( 2 x 984 ) / 984
= 2 / 984
= 2
Step3:
LCM(2, 232) = 232
GCD(2, 232) = ( 2 x 232 ) / 232
= 2 / 232
= 2
So, Greatest Common Divisor of 472, 310, 984, 232 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 472, 310, 984, 232
The greatest common divisor of numbers 472, 310, 984, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 310, 984, 232 is 2.
1. What is the GCD of 472, 310, 984, 232?
GCD of given numbers 472, 310, 984, 232 is 2
2. How to calculate the greatest common divisor of 472, 310, 984, 232?
We can find the highest common divisor of 472, 310, 984, 232 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 472, 310, 984, 232 i.e 2.
3. How can I use the GCD of 472, 310, 984, 232Calculator?
Out the numbers 472, 310, 984, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.