Online GCD Calculator is useful to find the GCD of 432, 312, 986, 472 quickly. Get the easiest ways to solve the greatest common divisor of 432, 312, 986, 472 i.e 2 in different methods as follows.
Given Input numbers are 432, 312, 986, 472
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
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 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (432, 312, 986, 472) = 2.
Given numbers are 432, 312, 986, 472
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 986 are 2 x 17 x 29
Prime factors of 472 are 2 x 2 x 2 x 59
The highest common occurrence is 21
Therefore, GCD of 432, 312, 986, 472 is 2.
Given numbers are 432, 312, 986, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 312) = 5616
GCD(432, 312) = ( 432 x 312 ) / 5616
= 432 / 312
= 432
Step2:
LCM(24, 986) = 11832
GCD(24, 986) = ( 24 x 986 ) / 11832
= 24 / 986
= 24
Step3:
LCM(2, 472) = 472
GCD(2, 472) = ( 2 x 472 ) / 472
= 2 / 472
= 2
So, Greatest Common Divisor of 432, 312, 986, 472 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 312, 986, 472
The greatest common divisor of numbers 432, 312, 986, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 312, 986, 472 is 2.
1. What is the GCD of 432, 312, 986, 472?
GCD of given numbers 432, 312, 986, 472 is 2
2. How to calculate the greatest common divisor of 432, 312, 986, 472?
We can find the highest common divisor of 432, 312, 986, 472 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 432, 312, 986, 472 i.e 2.
3. How can I use the GCD of 432, 312, 986, 472Calculator?
Out the numbers 432, 312, 986, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.