Online GCD Calculator is useful to find the GCD of 924, 904, 444, 984 quickly. Get the easiest ways to solve the greatest common divisor of 924, 904, 444, 984 i.e 4 in different methods as follows.
Given Input numbers are 924, 904, 444, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
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
GCD of numbers is the greatest common divisor
So, the GCD (924, 904, 444, 984) = 4.
Given numbers are 924, 904, 444, 984
The list of prime factors of all numbers are
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The highest common occurrence is 22
Therefore, GCD of 924, 904, 444, 984 is 4.
Given numbers are 924, 904, 444, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 904) = 208824
GCD(924, 904) = ( 924 x 904 ) / 208824
= 924 / 904
= 924
Step2:
LCM(4, 444) = 444
GCD(4, 444) = ( 4 x 444 ) / 444
= 4 / 444
= 4
Step3:
LCM(4, 984) = 984
GCD(4, 984) = ( 4 x 984 ) / 984
= 4 / 984
= 4
So, Greatest Common Divisor of 924, 904, 444, 984 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 904, 444, 984
The greatest common divisor of numbers 924, 904, 444, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 904, 444, 984 is 4.
1. What is the GCD of 924, 904, 444, 984?
GCD of given numbers 924, 904, 444, 984 is 4
2. How to calculate the greatest common divisor of 924, 904, 444, 984?
We can find the highest common divisor of 924, 904, 444, 984 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 924, 904, 444, 984 i.e 4.
3. How can I use the GCD of 924, 904, 444, 984Calculator?
Out the numbers 924, 904, 444, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.