Online GCD Calculator is useful to find the GCD of 393, 738, 51 quickly. Get the easiest ways to solve the greatest common divisor of 393, 738, 51 i.e 3 in different methods as follows.
Given Input numbers are 393, 738, 51
In the factoring method, we have to find the divisors of all numbers
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 51 :
The positive integer divisors of 51 that completely divides 51 are.
1, 3, 17, 51
GCD of numbers is the greatest common divisor
So, the GCD (393, 738, 51) = 3.
Given numbers are 393, 738, 51
The list of prime factors of all numbers are
Prime factors of 393 are 3 x 131
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 51 are 3 x 17
The highest common occurrence is 31
Therefore, GCD of 393, 738, 51 is 3.
Given numbers are 393, 738, 51
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(393, 738) = 96678
GCD(393, 738) = ( 393 x 738 ) / 96678
= 393 / 738
= 393
Step2:
LCM(3, 51) = 51
GCD(3, 51) = ( 3 x 51 ) / 51
= 3 / 51
= 3
So, Greatest Common Divisor of 393, 738, 51 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 393, 738, 51
The greatest common divisor of numbers 393, 738, 51 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 738, 51 is 3.
1. What is the GCD of 393, 738, 51?
GCD of given numbers 393, 738, 51 is 3
2. How to calculate the greatest common divisor of 393, 738, 51?
We can find the highest common divisor of 393, 738, 51 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 393, 738, 51 i.e 3.
3. How can I use the GCD of 393, 738, 51Calculator?
Out the numbers 393, 738, 51 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.