Online GCD Calculator is useful to find the GCD of 216, 981, 789, 645 quickly. Get the easiest ways to solve the greatest common divisor of 216, 981, 789, 645 i.e 3 in different methods as follows.
Given Input numbers are 216, 981, 789, 645
In the factoring method, we have to find the divisors of all numbers
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
GCD of numbers is the greatest common divisor
So, the GCD (216, 981, 789, 645) = 3.
Given numbers are 216, 981, 789, 645
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 981 are 3 x 3 x 109
Prime factors of 789 are 3 x 263
Prime factors of 645 are 3 x 5 x 43
The highest common occurrence is 31
Therefore, GCD of 216, 981, 789, 645 is 3.
Given numbers are 216, 981, 789, 645
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 981) = 23544
GCD(216, 981) = ( 216 x 981 ) / 23544
= 216 / 981
= 216
Step2:
LCM(9, 789) = 2367
GCD(9, 789) = ( 9 x 789 ) / 2367
= 9 / 789
= 9
Step3:
LCM(3, 645) = 645
GCD(3, 645) = ( 3 x 645 ) / 645
= 3 / 645
= 3
So, Greatest Common Divisor of 216, 981, 789, 645 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 981, 789, 645
The greatest common divisor of numbers 216, 981, 789, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 981, 789, 645 is 3.
1. What is the GCD of 216, 981, 789, 645?
GCD of given numbers 216, 981, 789, 645 is 3
2. How to calculate the greatest common divisor of 216, 981, 789, 645?
We can find the highest common divisor of 216, 981, 789, 645 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 216, 981, 789, 645 i.e 3.
3. How can I use the GCD of 216, 981, 789, 645Calculator?
Out the numbers 216, 981, 789, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.