Online GCD Calculator is useful to find the GCD of 684, 207, 954, 393 quickly. Get the easiest ways to solve the greatest common divisor of 684, 207, 954, 393 i.e 3 in different methods as follows.
Given Input numbers are 684, 207, 954, 393
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
GCD of numbers is the greatest common divisor
So, the GCD (684, 207, 954, 393) = 3.
Given numbers are 684, 207, 954, 393
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 207 are 3 x 3 x 23
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 393 are 3 x 131
The highest common occurrence is 31
Therefore, GCD of 684, 207, 954, 393 is 3.
Given numbers are 684, 207, 954, 393
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 207) = 15732
GCD(684, 207) = ( 684 x 207 ) / 15732
= 684 / 207
= 684
Step2:
LCM(9, 954) = 954
GCD(9, 954) = ( 9 x 954 ) / 954
= 9 / 954
= 9
Step3:
LCM(9, 393) = 1179
GCD(9, 393) = ( 9 x 393 ) / 1179
= 9 / 393
= 9
So, Greatest Common Divisor of 684, 207, 954, 393 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 207, 954, 393
The greatest common divisor of numbers 684, 207, 954, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 207, 954, 393 is 3.
1. What is the GCD of 684, 207, 954, 393?
GCD of given numbers 684, 207, 954, 393 is 3
2. How to calculate the greatest common divisor of 684, 207, 954, 393?
We can find the highest common divisor of 684, 207, 954, 393 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 684, 207, 954, 393 i.e 3.
3. How can I use the GCD of 684, 207, 954, 393Calculator?
Out the numbers 684, 207, 954, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.