GCD of 304, 728, 854, 422 Calculator

Given Input numbers are 304, 728, 854, 422

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (304, 728, 854, 422) = 2.

Given numbers are 304, 728, 854, 422

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 854 are 2 x 7 x 61

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 304, 728, 854, 422 is 2.

Given numbers are 304, 728, 854, 422

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

Apply this formula for all numbers.

Step1:

LCM(304, 728) = 27664

GCD(304, 728) = ( 304 x 728 ) / 27664

= 304 / 728

= 304

Step2:

LCM(8, 854) = 3416

GCD(8, 854) = ( 8 x 854 ) / 3416

= 8 / 854

= 8

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 304, 728, 854, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 829, 288, 378
• GCD of 219, 428, 357, 896
• GCD of 615, 319, 120, 465
• GCD of 828, 250, 548, 365
• GCD of 500, 249, 909, 713

Given numbers are 304, 728, 854, 422
The greatest common divisor of numbers 304, 728, 854, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 728, 854, 422 is 2.

1. What is the GCD of 304, 728, 854, 422?

GCD of given numbers 304, 728, 854, 422 is 2

2. How to calculate the greatest common divisor of 304, 728, 854, 422?

We can find the highest common divisor of 304, 728, 854, 422 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 304, 728, 854, 422 i.e 2.

3. How can I use the GCD of 304, 728, 854, 422Calculator?

Out the numbers 304, 728, 854, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.