Online GCD Calculator is useful to find the GCD of 446, 480, 998, 804 quickly. Get the easiest ways to solve the greatest common divisor of 446, 480, 998, 804 i.e 2 in different methods as follows.
Given Input numbers are 446, 480, 998, 804
In the factoring method, we have to find the divisors of all numbers
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
GCD of numbers is the greatest common divisor
So, the GCD (446, 480, 998, 804) = 2.
Given numbers are 446, 480, 998, 804
The list of prime factors of all numbers are
Prime factors of 446 are 2 x 223
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 998 are 2 x 499
Prime factors of 804 are 2 x 2 x 3 x 67
The highest common occurrence is 21
Therefore, GCD of 446, 480, 998, 804 is 2.
Given numbers are 446, 480, 998, 804
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(446, 480) = 107040
GCD(446, 480) = ( 446 x 480 ) / 107040
= 446 / 480
= 446
Step2:
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
= 2 / 998
= 2
Step3:
LCM(2, 804) = 804
GCD(2, 804) = ( 2 x 804 ) / 804
= 2 / 804
= 2
So, Greatest Common Divisor of 446, 480, 998, 804 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 446, 480, 998, 804
The greatest common divisor of numbers 446, 480, 998, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 446, 480, 998, 804 is 2.
1. What is the GCD of 446, 480, 998, 804?
GCD of given numbers 446, 480, 998, 804 is 2
2. How to calculate the greatest common divisor of 446, 480, 998, 804?
We can find the highest common divisor of 446, 480, 998, 804 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 446, 480, 998, 804 i.e 2.
3. How can I use the GCD of 446, 480, 998, 804Calculator?
Out the numbers 446, 480, 998, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.