Online GCD Calculator is useful to find the GCD of 966, 873, 249, 834 quickly. Get the easiest ways to solve the greatest common divisor of 966, 873, 249, 834 i.e 3 in different methods as follows.
Given Input numbers are 966, 873, 249, 834
In the factoring method, we have to find the divisors of all numbers
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
GCD of numbers is the greatest common divisor
So, the GCD (966, 873, 249, 834) = 3.
Given numbers are 966, 873, 249, 834
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 873 are 3 x 3 x 97
Prime factors of 249 are 3 x 83
Prime factors of 834 are 2 x 3 x 139
The highest common occurrence is 31
Therefore, GCD of 966, 873, 249, 834 is 3.
Given numbers are 966, 873, 249, 834
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 873) = 281106
GCD(966, 873) = ( 966 x 873 ) / 281106
= 966 / 873
= 966
Step2:
LCM(3, 249) = 249
GCD(3, 249) = ( 3 x 249 ) / 249
= 3 / 249
= 3
Step3:
LCM(3, 834) = 834
GCD(3, 834) = ( 3 x 834 ) / 834
= 3 / 834
= 3
So, Greatest Common Divisor of 966, 873, 249, 834 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 966, 873, 249, 834
The greatest common divisor of numbers 966, 873, 249, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 873, 249, 834 is 3.
1. What is the GCD of 966, 873, 249, 834?
GCD of given numbers 966, 873, 249, 834 is 3
2. How to calculate the greatest common divisor of 966, 873, 249, 834?
We can find the highest common divisor of 966, 873, 249, 834 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 966, 873, 249, 834 i.e 3.
3. How can I use the GCD of 966, 873, 249, 834Calculator?
Out the numbers 966, 873, 249, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.