Online GCD Calculator is useful to find the GCD of 432, 813, 888, 996 quickly. Get the easiest ways to solve the greatest common divisor of 432, 813, 888, 996 i.e 3 in different methods as follows.
Given Input numbers are 432, 813, 888, 996
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 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
GCD of numbers is the greatest common divisor
So, the GCD (432, 813, 888, 996) = 3.
Given numbers are 432, 813, 888, 996
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 813 are 3 x 271
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 996 are 2 x 2 x 3 x 83
The highest common occurrence is 31
Therefore, GCD of 432, 813, 888, 996 is 3.
Given numbers are 432, 813, 888, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 813) = 117072
GCD(432, 813) = ( 432 x 813 ) / 117072
= 432 / 813
= 432
Step2:
LCM(3, 888) = 888
GCD(3, 888) = ( 3 x 888 ) / 888
= 3 / 888
= 3
Step3:
LCM(3, 996) = 996
GCD(3, 996) = ( 3 x 996 ) / 996
= 3 / 996
= 3
So, Greatest Common Divisor of 432, 813, 888, 996 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 813, 888, 996
The greatest common divisor of numbers 432, 813, 888, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 813, 888, 996 is 3.
1. What is the GCD of 432, 813, 888, 996?
GCD of given numbers 432, 813, 888, 996 is 3
2. How to calculate the greatest common divisor of 432, 813, 888, 996?
We can find the highest common divisor of 432, 813, 888, 996 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, 813, 888, 996 i.e 3.
3. How can I use the GCD of 432, 813, 888, 996Calculator?
Out the numbers 432, 813, 888, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.