Online GCD Calculator is useful to find the GCD of 382, 856, 512, 584 quickly. Get the easiest ways to solve the greatest common divisor of 382, 856, 512, 584 i.e 2 in different methods as follows.
Given Input numbers are 382, 856, 512, 584
In the factoring method, we have to find the divisors of all numbers
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
GCD of numbers is the greatest common divisor
So, the GCD (382, 856, 512, 584) = 2.
Given numbers are 382, 856, 512, 584
The list of prime factors of all numbers are
Prime factors of 382 are 2 x 191
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 584 are 2 x 2 x 2 x 73
The highest common occurrence is 21
Therefore, GCD of 382, 856, 512, 584 is 2.
Given numbers are 382, 856, 512, 584
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(382, 856) = 163496
GCD(382, 856) = ( 382 x 856 ) / 163496
= 382 / 856
= 382
Step2:
LCM(2, 512) = 512
GCD(2, 512) = ( 2 x 512 ) / 512
= 2 / 512
= 2
Step3:
LCM(2, 584) = 584
GCD(2, 584) = ( 2 x 584 ) / 584
= 2 / 584
= 2
So, Greatest Common Divisor of 382, 856, 512, 584 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 382, 856, 512, 584
The greatest common divisor of numbers 382, 856, 512, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 856, 512, 584 is 2.
1. What is the GCD of 382, 856, 512, 584?
GCD of given numbers 382, 856, 512, 584 is 2
2. How to calculate the greatest common divisor of 382, 856, 512, 584?
We can find the highest common divisor of 382, 856, 512, 584 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 382, 856, 512, 584 i.e 2.
3. How can I use the GCD of 382, 856, 512, 584Calculator?
Out the numbers 382, 856, 512, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.