Online GCD Calculator is useful to find the GCD of 966, 636, 804, 243 quickly. Get the easiest ways to solve the greatest common divisor of 966, 636, 804, 243 i.e 3 in different methods as follows.
Given Input numbers are 966, 636, 804, 243
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 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
GCD of numbers is the greatest common divisor
So, the GCD (966, 636, 804, 243) = 3.
Given numbers are 966, 636, 804, 243
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 966, 636, 804, 243 is 3.
Given numbers are 966, 636, 804, 243
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 636) = 102396
GCD(966, 636) = ( 966 x 636 ) / 102396
= 966 / 636
= 966
Step2:
LCM(6, 804) = 804
GCD(6, 804) = ( 6 x 804 ) / 804
= 6 / 804
= 6
Step3:
LCM(6, 243) = 486
GCD(6, 243) = ( 6 x 243 ) / 486
= 6 / 243
= 6
So, Greatest Common Divisor of 966, 636, 804, 243 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 966, 636, 804, 243
The greatest common divisor of numbers 966, 636, 804, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 636, 804, 243 is 3.
1. What is the GCD of 966, 636, 804, 243?
GCD of given numbers 966, 636, 804, 243 is 3
2. How to calculate the greatest common divisor of 966, 636, 804, 243?
We can find the highest common divisor of 966, 636, 804, 243 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, 636, 804, 243 i.e 3.
3. How can I use the GCD of 966, 636, 804, 243Calculator?
Out the numbers 966, 636, 804, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.