Online GCD Calculator is useful to find the GCD of 384, 420, 656, 336 quickly. Get the easiest ways to solve the greatest common divisor of 384, 420, 656, 336 i.e 4 in different methods as follows.
Given Input numbers are 384, 420, 656, 336
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (384, 420, 656, 336) = 4.
Given numbers are 384, 420, 656, 336
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 384, 420, 656, 336 is 4.
Given numbers are 384, 420, 656, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 420) = 13440
GCD(384, 420) = ( 384 x 420 ) / 13440
= 384 / 420
= 384
Step2:
LCM(12, 656) = 1968
GCD(12, 656) = ( 12 x 656 ) / 1968
= 12 / 656
= 12
Step3:
LCM(4, 336) = 336
GCD(4, 336) = ( 4 x 336 ) / 336
= 4 / 336
= 4
So, Greatest Common Divisor of 384, 420, 656, 336 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 420, 656, 336
The greatest common divisor of numbers 384, 420, 656, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 420, 656, 336 is 4.
1. What is the GCD of 384, 420, 656, 336?
GCD of given numbers 384, 420, 656, 336 is 4
2. How to calculate the greatest common divisor of 384, 420, 656, 336?
We can find the highest common divisor of 384, 420, 656, 336 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 384, 420, 656, 336 i.e 4.
3. How can I use the GCD of 384, 420, 656, 336Calculator?
Out the numbers 384, 420, 656, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.