Online GCD Calculator is useful to find the GCD of 474, 393, 384 quickly. Get the easiest ways to solve the greatest common divisor of 474, 393, 384 i.e 3 in different methods as follows.
Given Input numbers are 474, 393, 384
In the factoring method, we have to find the divisors of all numbers
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD of numbers is the greatest common divisor
So, the GCD (474, 393, 384) = 3.
Given numbers are 474, 393, 384
The list of prime factors of all numbers are
Prime factors of 474 are 2 x 3 x 79
Prime factors of 393 are 3 x 131
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 474, 393, 384 is 3.
Given numbers are 474, 393, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(474, 393) = 62094
GCD(474, 393) = ( 474 x 393 ) / 62094
= 474 / 393
= 474
Step2:
LCM(3, 384) = 384
GCD(3, 384) = ( 3 x 384 ) / 384
= 3 / 384
= 3
So, Greatest Common Divisor of 474, 393, 384 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 474, 393, 384
The greatest common divisor of numbers 474, 393, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 393, 384 is 3.
1. What is the GCD of 474, 393, 384?
GCD of given numbers 474, 393, 384 is 3
2. How to calculate the greatest common divisor of 474, 393, 384?
We can find the highest common divisor of 474, 393, 384 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 474, 393, 384 i.e 3.
3. How can I use the GCD of 474, 393, 384Calculator?
Out the numbers 474, 393, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.