Online GCD Calculator is useful to find the GCD of 849, 960, 981 quickly. Get the easiest ways to solve the greatest common divisor of 849, 960, 981 i.e 3 in different methods as follows.
Given Input numbers are 849, 960, 981
In the factoring method, we have to find the divisors of all numbers
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
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 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 (849, 960, 981) = 3.
Given numbers are 849, 960, 981
The list of prime factors of all numbers are
Prime factors of 849 are 3 x 283
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 981 are 3 x 3 x 109
The highest common occurrence is 31
Therefore, GCD of 849, 960, 981 is 3.
Given numbers are 849, 960, 981
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(849, 960) = 271680
GCD(849, 960) = ( 849 x 960 ) / 271680
= 849 / 960
= 849
Step2:
LCM(3, 981) = 981
GCD(3, 981) = ( 3 x 981 ) / 981
= 3 / 981
= 3
So, Greatest Common Divisor of 849, 960, 981 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 849, 960, 981
The greatest common divisor of numbers 849, 960, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 960, 981 is 3.
1. What is the GCD of 849, 960, 981?
GCD of given numbers 849, 960, 981 is 3
2. How to calculate the greatest common divisor of 849, 960, 981?
We can find the highest common divisor of 849, 960, 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 849, 960, 981 i.e 3.
3. How can I use the GCD of 849, 960, 981Calculator?
Out the numbers 849, 960, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.