GCD of 288, 440, 284, 798 Calculator

Given Input numbers are 288, 440, 284, 798

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 284 :

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

1, 2, 4, 71, 142, 284

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (288, 440, 284, 798) = 2.

Given numbers are 288, 440, 284, 798

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 284 are 2 x 2 x 71

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 288, 440, 284, 798 is 2.

Given numbers are 288, 440, 284, 798

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

Apply this formula for all numbers.

Step1:

LCM(288, 440) = 15840

GCD(288, 440) = ( 288 x 440 ) / 15840

= 288 / 440

= 288

Step2:

LCM(8, 284) = 568

GCD(8, 284) = ( 8 x 284 ) / 568

= 8 / 284

= 8

Step3:

LCM(4, 798) = 1596

GCD(4, 798) = ( 4 x 798 ) / 1596

= 4 / 798

= 4

So, Greatest Common Divisor of 288, 440, 284, 798 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 547, 392, 612
• GCD of 164, 705, 937, 965
• GCD of 936, 780, 237, 551
• GCD of 877, 343, 483, 249
• GCD of 590, 634, 118, 504

Given numbers are 288, 440, 284, 798
The greatest common divisor of numbers 288, 440, 284, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 440, 284, 798 is 2.

1. What is the GCD of 288, 440, 284, 798?

GCD of given numbers 288, 440, 284, 798 is 2

2. How to calculate the greatest common divisor of 288, 440, 284, 798?

We can find the highest common divisor of 288, 440, 284, 798 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 288, 440, 284, 798 i.e 2.

3. How can I use the GCD of 288, 440, 284, 798Calculator?

Out the numbers 288, 440, 284, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.