Online GCD Calculator is useful to find the GCD of 921, 324, 849, 966 quickly. Get the easiest ways to solve the greatest common divisor of 921, 324, 849, 966 i.e 3 in different methods as follows.
Given Input numbers are 921, 324, 849, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
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
GCD of numbers is the greatest common divisor
So, the GCD (921, 324, 849, 966) = 3.
Given numbers are 921, 324, 849, 966
The list of prime factors of all numbers are
Prime factors of 921 are 3 x 307
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 849 are 3 x 283
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 31
Therefore, GCD of 921, 324, 849, 966 is 3.
Given numbers are 921, 324, 849, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(921, 324) = 99468
GCD(921, 324) = ( 921 x 324 ) / 99468
= 921 / 324
= 921
Step2:
LCM(3, 849) = 849
GCD(3, 849) = ( 3 x 849 ) / 849
= 3 / 849
= 3
Step3:
LCM(3, 966) = 966
GCD(3, 966) = ( 3 x 966 ) / 966
= 3 / 966
= 3
So, Greatest Common Divisor of 921, 324, 849, 966 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 921, 324, 849, 966
The greatest common divisor of numbers 921, 324, 849, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 324, 849, 966 is 3.
1. What is the GCD of 921, 324, 849, 966?
GCD of given numbers 921, 324, 849, 966 is 3
2. How to calculate the greatest common divisor of 921, 324, 849, 966?
We can find the highest common divisor of 921, 324, 849, 966 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 921, 324, 849, 966 i.e 3.
3. How can I use the GCD of 921, 324, 849, 966Calculator?
Out the numbers 921, 324, 849, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.