Online GCD Calculator is useful to find the GCD of 342, 390, 250, 814 quickly. Get the easiest ways to solve the greatest common divisor of 342, 390, 250, 814 i.e 2 in different methods as follows.
Given Input numbers are 342, 390, 250, 814
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (342, 390, 250, 814) = 2.
Given numbers are 342, 390, 250, 814
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 814 are 2 x 11 x 37
The highest common occurrence is 21
Therefore, GCD of 342, 390, 250, 814 is 2.
Given numbers are 342, 390, 250, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 390) = 22230
GCD(342, 390) = ( 342 x 390 ) / 22230
= 342 / 390
= 342
Step2:
LCM(6, 250) = 750
GCD(6, 250) = ( 6 x 250 ) / 750
= 6 / 250
= 6
Step3:
LCM(2, 814) = 814
GCD(2, 814) = ( 2 x 814 ) / 814
= 2 / 814
= 2
So, Greatest Common Divisor of 342, 390, 250, 814 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 390, 250, 814
The greatest common divisor of numbers 342, 390, 250, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 390, 250, 814 is 2.
1. What is the GCD of 342, 390, 250, 814?
GCD of given numbers 342, 390, 250, 814 is 2
2. How to calculate the greatest common divisor of 342, 390, 250, 814?
We can find the highest common divisor of 342, 390, 250, 814 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 342, 390, 250, 814 i.e 2.
3. How can I use the GCD of 342, 390, 250, 814Calculator?
Out the numbers 342, 390, 250, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.