Online GCD Calculator is useful to find the GCD of 494, 682, 440, 116 quickly. Get the easiest ways to solve the greatest common divisor of 494, 682, 440, 116 i.e 2 in different methods as follows.
Given Input numbers are 494, 682, 440, 116
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 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (494, 682, 440, 116) = 2.
Given numbers are 494, 682, 440, 116
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 682 are 2 x 11 x 31
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 116 are 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 494, 682, 440, 116 is 2.
Given numbers are 494, 682, 440, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 682) = 168454
GCD(494, 682) = ( 494 x 682 ) / 168454
= 494 / 682
= 494
Step2:
LCM(2, 440) = 440
GCD(2, 440) = ( 2 x 440 ) / 440
= 2 / 440
= 2
Step3:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
So, Greatest Common Divisor of 494, 682, 440, 116 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 682, 440, 116
The greatest common divisor of numbers 494, 682, 440, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 682, 440, 116 is 2.
1. What is the GCD of 494, 682, 440, 116?
GCD of given numbers 494, 682, 440, 116 is 2
2. How to calculate the greatest common divisor of 494, 682, 440, 116?
We can find the highest common divisor of 494, 682, 440, 116 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, 682, 440, 116 i.e 2.
3. How can I use the GCD of 494, 682, 440, 116Calculator?
Out the numbers 494, 682, 440, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.