GCD of 728, 870, 320, 284 Calculator

Given Input numbers are 728, 870, 320, 284

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

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (728, 870, 320, 284) = 2.

Given numbers are 728, 870, 320, 284

The list of prime factors of all numbers are

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

Prime factors of 870 are 2 x 3 x 5 x 29

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

Prime factors of 284 are 2 x 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 728, 870, 320, 284 is 2.

Given numbers are 728, 870, 320, 284

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

Apply this formula for all numbers.

Step1:

LCM(728, 870) = 316680

GCD(728, 870) = ( 728 x 870 ) / 316680

= 728 / 870

= 728

Step2:

LCM(2, 320) = 320

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

= 2 / 320

= 2

Step3:

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

= 2 / 284

= 2

So, Greatest Common Divisor of 728, 870, 320, 284 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 220, 440, 131
• GCD of 704, 567, 558, 285
• GCD of 413, 328, 823, 302
• GCD of 103, 881, 590, 473
• GCD of 829, 220, 265, 598

Given numbers are 728, 870, 320, 284
The greatest common divisor of numbers 728, 870, 320, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 870, 320, 284 is 2.

1. What is the GCD of 728, 870, 320, 284?

GCD of given numbers 728, 870, 320, 284 is 2

2. How to calculate the greatest common divisor of 728, 870, 320, 284?

We can find the highest common divisor of 728, 870, 320, 284 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 728, 870, 320, 284 i.e 2.

3. How can I use the GCD of 728, 870, 320, 284Calculator?

Out the numbers 728, 870, 320, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.