Online GCD Calculator is useful to find the GCD of 462, 986, 284, 384 quickly. Get the easiest ways to solve the greatest common divisor of 462, 986, 284, 384 i.e 2 in different methods as follows.
Given Input numbers are 462, 986, 284, 384
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
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 (462, 986, 284, 384) = 2.
Given numbers are 462, 986, 284, 384
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 986 are 2 x 17 x 29
Prime factors of 284 are 2 x 2 x 71
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 21
Therefore, GCD of 462, 986, 284, 384 is 2.
Given numbers are 462, 986, 284, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 986) = 227766
GCD(462, 986) = ( 462 x 986 ) / 227766
= 462 / 986
= 462
Step2:
LCM(2, 284) = 284
GCD(2, 284) = ( 2 x 284 ) / 284
= 2 / 284
= 2
Step3:
LCM(2, 384) = 384
GCD(2, 384) = ( 2 x 384 ) / 384
= 2 / 384
= 2
So, Greatest Common Divisor of 462, 986, 284, 384 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 986, 284, 384
The greatest common divisor of numbers 462, 986, 284, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 986, 284, 384 is 2.
1. What is the GCD of 462, 986, 284, 384?
GCD of given numbers 462, 986, 284, 384 is 2
2. How to calculate the greatest common divisor of 462, 986, 284, 384?
We can find the highest common divisor of 462, 986, 284, 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 462, 986, 284, 384 i.e 2.
3. How can I use the GCD of 462, 986, 284, 384Calculator?
Out the numbers 462, 986, 284, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.