Online GCD Calculator is useful to find the GCD of 314, 338, 838 quickly. Get the easiest ways to solve the greatest common divisor of 314, 338, 838 i.e 2 in different methods as follows.
Given Input numbers are 314, 338, 838
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 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
GCD of numbers is the greatest common divisor
So, the GCD (314, 338, 838) = 2.
Given numbers are 314, 338, 838
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 338 are 2 x 13 x 13
Prime factors of 838 are 2 x 419
The highest common occurrence is 21
Therefore, GCD of 314, 338, 838 is 2.
Given numbers are 314, 338, 838
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 338) = 53066
GCD(314, 338) = ( 314 x 338 ) / 53066
= 314 / 338
= 314
Step2:
LCM(2, 838) = 838
GCD(2, 838) = ( 2 x 838 ) / 838
= 2 / 838
= 2
So, Greatest Common Divisor of 314, 338, 838 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 314, 338, 838
The greatest common divisor of numbers 314, 338, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 338, 838 is 2.
1. What is the GCD of 314, 338, 838?
GCD of given numbers 314, 338, 838 is 2
2. How to calculate the greatest common divisor of 314, 338, 838?
We can find the highest common divisor of 314, 338, 838 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, 338, 838 i.e 2.
3. How can I use the GCD of 314, 338, 838Calculator?
Out the numbers 314, 338, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.