Online GCD Calculator is useful to find the GCD of 432, 732, 876, 904 quickly. Get the easiest ways to solve the greatest common divisor of 432, 732, 876, 904 i.e 4 in different methods as follows.
Given Input numbers are 432, 732, 876, 904
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 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 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
GCD of numbers is the greatest common divisor
So, the GCD (432, 732, 876, 904) = 4.
Given numbers are 432, 732, 876, 904
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 732 are 2 x 2 x 3 x 61
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 904 are 2 x 2 x 2 x 113
The highest common occurrence is 22
Therefore, GCD of 432, 732, 876, 904 is 4.
Given numbers are 432, 732, 876, 904
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 732) = 26352
GCD(432, 732) = ( 432 x 732 ) / 26352
= 432 / 732
= 432
Step2:
LCM(12, 876) = 876
GCD(12, 876) = ( 12 x 876 ) / 876
= 12 / 876
= 12
Step3:
LCM(12, 904) = 2712
GCD(12, 904) = ( 12 x 904 ) / 2712
= 12 / 904
= 12
So, Greatest Common Divisor of 432, 732, 876, 904 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 732, 876, 904
The greatest common divisor of numbers 432, 732, 876, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 732, 876, 904 is 4.
1. What is the GCD of 432, 732, 876, 904?
GCD of given numbers 432, 732, 876, 904 is 4
2. How to calculate the greatest common divisor of 432, 732, 876, 904?
We can find the highest common divisor of 432, 732, 876, 904 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, 732, 876, 904 i.e 4.
3. How can I use the GCD of 432, 732, 876, 904Calculator?
Out the numbers 432, 732, 876, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.