Online GCD Calculator is useful to find the GCD of 686, 520, 322, 116 quickly. Get the easiest ways to solve the greatest common divisor of 686, 520, 322, 116 i.e 2 in different methods as follows.
Given Input numbers are 686, 520, 322, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
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 (686, 520, 322, 116) = 2.
Given numbers are 686, 520, 322, 116
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 322 are 2 x 7 x 23
Prime factors of 116 are 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 686, 520, 322, 116 is 2.
Given numbers are 686, 520, 322, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 520) = 178360
GCD(686, 520) = ( 686 x 520 ) / 178360
= 686 / 520
= 686
Step2:
LCM(2, 322) = 322
GCD(2, 322) = ( 2 x 322 ) / 322
= 2 / 322
= 2
Step3:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
So, Greatest Common Divisor of 686, 520, 322, 116 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 686, 520, 322, 116
The greatest common divisor of numbers 686, 520, 322, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 520, 322, 116 is 2.
1. What is the GCD of 686, 520, 322, 116?
GCD of given numbers 686, 520, 322, 116 is 2
2. How to calculate the greatest common divisor of 686, 520, 322, 116?
We can find the highest common divisor of 686, 520, 322, 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 686, 520, 322, 116 i.e 2.
3. How can I use the GCD of 686, 520, 322, 116Calculator?
Out the numbers 686, 520, 322, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.