Online GCD Calculator is useful to find the GCD of 399, 357, 33, 384 quickly. Get the easiest ways to solve the greatest common divisor of 399, 357, 33, 384 i.e 3 in different methods as follows.
Given Input numbers are 399, 357, 33, 384
In the factoring method, we have to find the divisors of all numbers
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 33 :
The positive integer divisors of 33 that completely divides 33 are.
1, 3, 11, 33
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 (399, 357, 33, 384) = 3.
Given numbers are 399, 357, 33, 384
The list of prime factors of all numbers are
Prime factors of 399 are 3 x 7 x 19
Prime factors of 357 are 3 x 7 x 17
Prime factors of 33 are 3 x 11
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 399, 357, 33, 384 is 3.
Given numbers are 399, 357, 33, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(399, 357) = 6783
GCD(399, 357) = ( 399 x 357 ) / 6783
= 399 / 357
= 399
Step2:
LCM(21, 33) = 231
GCD(21, 33) = ( 21 x 33 ) / 231
= 21 / 33
= 21
Step3:
LCM(3, 384) = 384
GCD(3, 384) = ( 3 x 384 ) / 384
= 3 / 384
= 3
So, Greatest Common Divisor of 399, 357, 33, 384 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 399, 357, 33, 384
The greatest common divisor of numbers 399, 357, 33, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 357, 33, 384 is 3.
1. What is the GCD of 399, 357, 33, 384?
GCD of given numbers 399, 357, 33, 384 is 3
2. How to calculate the greatest common divisor of 399, 357, 33, 384?
We can find the highest common divisor of 399, 357, 33, 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 399, 357, 33, 384 i.e 3.
3. How can I use the GCD of 399, 357, 33, 384Calculator?
Out the numbers 399, 357, 33, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.