Online GCD Calculator is useful to find the GCD of 744, 414, 393 quickly. Get the easiest ways to solve the greatest common divisor of 744, 414, 393 i.e 3 in different methods as follows.
Given Input numbers are 744, 414, 393
In the factoring method, we have to find the divisors of all numbers
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
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 (744, 414, 393) = 3.
Given numbers are 744, 414, 393
The list of prime factors of all numbers are
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 393 are 3 x 131
The highest common occurrence is 31
Therefore, GCD of 744, 414, 393 is 3.
Given numbers are 744, 414, 393
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(744, 414) = 51336
GCD(744, 414) = ( 744 x 414 ) / 51336
= 744 / 414
= 744
Step2:
LCM(6, 393) = 786
GCD(6, 393) = ( 6 x 393 ) / 786
= 6 / 393
= 6
So, Greatest Common Divisor of 744, 414, 393 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 744, 414, 393
The greatest common divisor of numbers 744, 414, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 414, 393 is 3.
1. What is the GCD of 744, 414, 393?
GCD of given numbers 744, 414, 393 is 3
2. How to calculate the greatest common divisor of 744, 414, 393?
We can find the highest common divisor of 744, 414, 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 744, 414, 393 i.e 3.
3. How can I use the GCD of 744, 414, 393Calculator?
Out the numbers 744, 414, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.