GCD of 814, 482, 328, 504 Calculator

Given Input numbers are 814, 482, 328, 504

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (814, 482, 328, 504) = 2.

Given numbers are 814, 482, 328, 504

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 482 are 2 x 241

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 814, 482, 328, 504 is 2.

Given numbers are 814, 482, 328, 504

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

Apply this formula for all numbers.

Step1:

LCM(814, 482) = 196174

GCD(814, 482) = ( 814 x 482 ) / 196174

= 814 / 482

= 814

Step2:

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

= 2 / 328

= 2

Step3:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

So, Greatest Common Divisor of 814, 482, 328, 504 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 251, 194, 949
• GCD of 998, 333, 806, 849
• GCD of 480, 374, 502, 351
• GCD of 821, 829, 725, 807
• GCD of 204, 284, 315, 912

Given numbers are 814, 482, 328, 504
The greatest common divisor of numbers 814, 482, 328, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 482, 328, 504 is 2.

1. What is the GCD of 814, 482, 328, 504?

GCD of given numbers 814, 482, 328, 504 is 2

2. How to calculate the greatest common divisor of 814, 482, 328, 504?

We can find the highest common divisor of 814, 482, 328, 504 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 814, 482, 328, 504 i.e 2.

3. How can I use the GCD of 814, 482, 328, 504Calculator?

Out the numbers 814, 482, 328, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.