Online GCD Calculator is useful to find the GCD of 494, 684, 394, 830 quickly. Get the easiest ways to solve the greatest common divisor of 494, 684, 394, 830 i.e 2 in different methods as follows.
Given Input numbers are 494, 684, 394, 830
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
GCD of numbers is the greatest common divisor
So, the GCD (494, 684, 394, 830) = 2.
Given numbers are 494, 684, 394, 830
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 394 are 2 x 197
Prime factors of 830 are 2 x 5 x 83
The highest common occurrence is 21
Therefore, GCD of 494, 684, 394, 830 is 2.
Given numbers are 494, 684, 394, 830
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 684) = 8892
GCD(494, 684) = ( 494 x 684 ) / 8892
= 494 / 684
= 494
Step2:
LCM(38, 394) = 7486
GCD(38, 394) = ( 38 x 394 ) / 7486
= 38 / 394
= 38
Step3:
LCM(2, 830) = 830
GCD(2, 830) = ( 2 x 830 ) / 830
= 2 / 830
= 2
So, Greatest Common Divisor of 494, 684, 394, 830 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 684, 394, 830
The greatest common divisor of numbers 494, 684, 394, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 684, 394, 830 is 2.
1. What is the GCD of 494, 684, 394, 830?
GCD of given numbers 494, 684, 394, 830 is 2
2. How to calculate the greatest common divisor of 494, 684, 394, 830?
We can find the highest common divisor of 494, 684, 394, 830 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 494, 684, 394, 830 i.e 2.
3. How can I use the GCD of 494, 684, 394, 830Calculator?
Out the numbers 494, 684, 394, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.