Online GCD Calculator is useful to find the GCD of 308, 322, 686 quickly. Get the easiest ways to solve the greatest common divisor of 308, 322, 686 i.e 14 in different methods as follows.
Given Input numbers are 308, 322, 686
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
GCD of numbers is the greatest common divisor
So, the GCD (308, 322, 686) = 14.
Given numbers are 308, 322, 686
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 322 are 2 x 7 x 23
Prime factors of 686 are 2 x 7 x 7 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 308, 322, 686 is 14.
Given numbers are 308, 322, 686
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 322) = 7084
GCD(308, 322) = ( 308 x 322 ) / 7084
= 308 / 322
= 308
Step2:
LCM(14, 686) = 686
GCD(14, 686) = ( 14 x 686 ) / 686
= 14 / 686
= 14
So, Greatest Common Divisor of 308, 322, 686 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 322, 686
The greatest common divisor of numbers 308, 322, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 322, 686 is 14.
1. What is the GCD of 308, 322, 686?
GCD of given numbers 308, 322, 686 is 14
2. How to calculate the greatest common divisor of 308, 322, 686?
We can find the highest common divisor of 308, 322, 686 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 308, 322, 686 i.e 14.
3. How can I use the GCD of 308, 322, 686Calculator?
Out the numbers 308, 322, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.