Online GCD Calculator is useful to find the GCD of 314, 460, 802, 686 quickly. Get the easiest ways to solve the greatest common divisor of 314, 460, 802, 686 i.e 2 in different methods as follows.
Given Input numbers are 314, 460, 802, 686
In the factoring method, we have to find the divisors of all numbers
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
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 (314, 460, 802, 686) = 2.
Given numbers are 314, 460, 802, 686
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 802 are 2 x 401
Prime factors of 686 are 2 x 7 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 314, 460, 802, 686 is 2.
Given numbers are 314, 460, 802, 686
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 460) = 72220
GCD(314, 460) = ( 314 x 460 ) / 72220
= 314 / 460
= 314
Step2:
LCM(2, 802) = 802
GCD(2, 802) = ( 2 x 802 ) / 802
= 2 / 802
= 2
Step3:
LCM(2, 686) = 686
GCD(2, 686) = ( 2 x 686 ) / 686
= 2 / 686
= 2
So, Greatest Common Divisor of 314, 460, 802, 686 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 314, 460, 802, 686
The greatest common divisor of numbers 314, 460, 802, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 460, 802, 686 is 2.
1. What is the GCD of 314, 460, 802, 686?
GCD of given numbers 314, 460, 802, 686 is 2
2. How to calculate the greatest common divisor of 314, 460, 802, 686?
We can find the highest common divisor of 314, 460, 802, 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 314, 460, 802, 686 i.e 2.
3. How can I use the GCD of 314, 460, 802, 686Calculator?
Out the numbers 314, 460, 802, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.