GCD of 838, 390, 518, 311 Calculator

Given Input numbers are 838, 390, 518, 311

In the factoring method, we have to find the divisors of all numbers

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

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 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

GCD of numbers is the greatest common divisor

So, the GCD (838, 390, 518, 311) = 1.

Given numbers are 838, 390, 518, 311

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 518 are 2 x 7 x 37

Prime factors of 311 are 311

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 838, 390, 518, 311

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(838, 390) = 163410

GCD(838, 390) = ( 838 x 390 ) / 163410

= 838 / 390

= 838

Step2:

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

= 2 / 518

= 2

Step3:

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

= 2 / 311

= 2

So, Greatest Common Divisor of 838, 390, 518, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 528, 815, 748
• GCD of 395, 636, 732, 728
• GCD of 185, 866, 789, 170
• GCD of 775, 270, 144, 747
• GCD of 130, 264, 574, 275

Given numbers are 838, 390, 518, 311
The greatest common divisor of numbers 838, 390, 518, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 390, 518, 311 is 1.

1. What is the GCD of 838, 390, 518, 311?

GCD of given numbers 838, 390, 518, 311 is 1

2. How to calculate the greatest common divisor of 838, 390, 518, 311?

We can find the highest common divisor of 838, 390, 518, 311 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 838, 390, 518, 311 i.e 1.

3. How can I use the GCD of 838, 390, 518, 311Calculator?

Out the numbers 838, 390, 518, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.