Online GCD Calculator is useful to find the GCD of 984, 720, 399, 441 quickly. Get the easiest ways to solve the greatest common divisor of 984, 720, 399, 441 i.e 3 in different methods as follows.
Given Input numbers are 984, 720, 399, 441
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
GCD of numbers is the greatest common divisor
So, the GCD (984, 720, 399, 441) = 3.
Given numbers are 984, 720, 399, 441
The list of prime factors of all numbers are
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 399 are 3 x 7 x 19
Prime factors of 441 are 3 x 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 984, 720, 399, 441 is 3.
Given numbers are 984, 720, 399, 441
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 720) = 29520
GCD(984, 720) = ( 984 x 720 ) / 29520
= 984 / 720
= 984
Step2:
LCM(24, 399) = 3192
GCD(24, 399) = ( 24 x 399 ) / 3192
= 24 / 399
= 24
Step3:
LCM(3, 441) = 441
GCD(3, 441) = ( 3 x 441 ) / 441
= 3 / 441
= 3
So, Greatest Common Divisor of 984, 720, 399, 441 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 984, 720, 399, 441
The greatest common divisor of numbers 984, 720, 399, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 720, 399, 441 is 3.
1. What is the GCD of 984, 720, 399, 441?
GCD of given numbers 984, 720, 399, 441 is 3
2. How to calculate the greatest common divisor of 984, 720, 399, 441?
We can find the highest common divisor of 984, 720, 399, 441 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 984, 720, 399, 441 i.e 3.
3. How can I use the GCD of 984, 720, 399, 441Calculator?
Out the numbers 984, 720, 399, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.