GCD of 288, 476, 802, 864 Calculator

Given Input numbers are 288, 476, 802, 864

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 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (288, 476, 802, 864) = 2.

Given numbers are 288, 476, 802, 864

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 476 are 2 x 2 x 7 x 17

Prime factors of 802 are 2 x 401

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 288, 476, 802, 864 is 2.

Given numbers are 288, 476, 802, 864

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

Apply this formula for all numbers.

Step1:

LCM(288, 476) = 34272

GCD(288, 476) = ( 288 x 476 ) / 34272

= 288 / 476

= 288

Step2:

LCM(4, 802) = 1604

GCD(4, 802) = ( 4 x 802 ) / 1604

= 4 / 802

= 4

Step3:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

So, Greatest Common Divisor of 288, 476, 802, 864 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 322, 119, 375
• GCD of 278, 220, 890, 794
• GCD of 961, 904, 790, 390
• GCD of 153, 566, 339, 106
• GCD of 612, 740, 571, 432

Given numbers are 288, 476, 802, 864
The greatest common divisor of numbers 288, 476, 802, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 476, 802, 864 is 2.

1. What is the GCD of 288, 476, 802, 864?

GCD of given numbers 288, 476, 802, 864 is 2

2. How to calculate the greatest common divisor of 288, 476, 802, 864?

We can find the highest common divisor of 288, 476, 802, 864 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, 476, 802, 864 i.e 2.

3. How can I use the GCD of 288, 476, 802, 864Calculator?

Out the numbers 288, 476, 802, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.