GCD of 812, 310, 320, 728 Calculator

Given Input numbers are 812, 310, 320, 728

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

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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

GCD of numbers is the greatest common divisor

So, the GCD (812, 310, 320, 728) = 2.

Given numbers are 812, 310, 320, 728

The list of prime factors of all numbers are

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 310 are 2 x 5 x 31

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 812, 310, 320, 728 is 2.

Given numbers are 812, 310, 320, 728

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

Apply this formula for all numbers.

Step1:

LCM(812, 310) = 125860

GCD(812, 310) = ( 812 x 310 ) / 125860

= 812 / 310

= 812

Step2:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 812, 310, 320, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 169, 163, 722
• GCD of 287, 739, 782, 503
• GCD of 549, 515, 542, 664
• GCD of 291, 547, 474, 760
• GCD of 229, 449, 596, 331

Given numbers are 812, 310, 320, 728
The greatest common divisor of numbers 812, 310, 320, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 310, 320, 728 is 2.

1. What is the GCD of 812, 310, 320, 728?

GCD of given numbers 812, 310, 320, 728 is 2

2. How to calculate the greatest common divisor of 812, 310, 320, 728?

We can find the highest common divisor of 812, 310, 320, 728 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 812, 310, 320, 728 i.e 2.

3. How can I use the GCD of 812, 310, 320, 728Calculator?

Out the numbers 812, 310, 320, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.