Online GCD Calculator is useful to find the GCD of 440, 904, 900, 996 quickly. Get the easiest ways to solve the greatest common divisor of 440, 904, 900, 996 i.e 4 in different methods as follows.
Given Input numbers are 440, 904, 900, 996
In the factoring method, we have to find the divisors of all numbers
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
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 (440, 904, 900, 996) = 4.
Given numbers are 440, 904, 900, 996
The list of prime factors of all numbers are
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 996 are 2 x 2 x 3 x 83
The highest common occurrence is 22
Therefore, GCD of 440, 904, 900, 996 is 4.
Given numbers are 440, 904, 900, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(440, 904) = 49720
GCD(440, 904) = ( 440 x 904 ) / 49720
= 440 / 904
= 440
Step2:
LCM(8, 900) = 1800
GCD(8, 900) = ( 8 x 900 ) / 1800
= 8 / 900
= 8
Step3:
LCM(4, 996) = 996
GCD(4, 996) = ( 4 x 996 ) / 996
= 4 / 996
= 4
So, Greatest Common Divisor of 440, 904, 900, 996 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 440, 904, 900, 996
The greatest common divisor of numbers 440, 904, 900, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 904, 900, 996 is 4.
1. What is the GCD of 440, 904, 900, 996?
GCD of given numbers 440, 904, 900, 996 is 4
2. How to calculate the greatest common divisor of 440, 904, 900, 996?
We can find the highest common divisor of 440, 904, 900, 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 440, 904, 900, 996 i.e 4.
3. How can I use the GCD of 440, 904, 900, 996Calculator?
Out the numbers 440, 904, 900, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.