Online GCD Calculator is useful to find the GCD of 873, 960, 432, 981 quickly. Get the easiest ways to solve the greatest common divisor of 873, 960, 432, 981 i.e 3 in different methods as follows.
Given Input numbers are 873, 960, 432, 981
In the factoring method, we have to find the divisors of all numbers
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
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 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
GCD of numbers is the greatest common divisor
So, the GCD (873, 960, 432, 981) = 3.
Given numbers are 873, 960, 432, 981
The list of prime factors of all numbers are
Prime factors of 873 are 3 x 3 x 97
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 981 are 3 x 3 x 109
The highest common occurrence is 31
Therefore, GCD of 873, 960, 432, 981 is 3.
Given numbers are 873, 960, 432, 981
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(873, 960) = 279360
GCD(873, 960) = ( 873 x 960 ) / 279360
= 873 / 960
= 873
Step2:
LCM(3, 432) = 432
GCD(3, 432) = ( 3 x 432 ) / 432
= 3 / 432
= 3
Step3:
LCM(3, 981) = 981
GCD(3, 981) = ( 3 x 981 ) / 981
= 3 / 981
= 3
So, Greatest Common Divisor of 873, 960, 432, 981 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 873, 960, 432, 981
The greatest common divisor of numbers 873, 960, 432, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 960, 432, 981 is 3.
1. What is the GCD of 873, 960, 432, 981?
GCD of given numbers 873, 960, 432, 981 is 3
2. How to calculate the greatest common divisor of 873, 960, 432, 981?
We can find the highest common divisor of 873, 960, 432, 981 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 873, 960, 432, 981 i.e 3.
3. How can I use the GCD of 873, 960, 432, 981Calculator?
Out the numbers 873, 960, 432, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.