GCD of 288, 680, 726, 304 Calculator

Given Input numbers are 288, 680, 726, 304

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 304 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (288, 680, 726, 304) = 2.

Given numbers are 288, 680, 726, 304

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 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 726 are 2 x 3 x 11 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 288, 680, 726, 304 is 2.

Given numbers are 288, 680, 726, 304

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

Apply this formula for all numbers.

Step1:

LCM(288, 680) = 24480

GCD(288, 680) = ( 288 x 680 ) / 24480

= 288 / 680

= 288

Step2:

LCM(8, 726) = 2904

GCD(8, 726) = ( 8 x 726 ) / 2904

= 8 / 726

= 8

Step3:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

So, Greatest Common Divisor of 288, 680, 726, 304 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 289, 750, 479
• GCD of 557, 149, 356, 660
• GCD of 714, 206, 323, 911
• GCD of 232, 790, 875, 415
• GCD of 174, 542, 670, 913

Given numbers are 288, 680, 726, 304
The greatest common divisor of numbers 288, 680, 726, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 680, 726, 304 is 2.

1. What is the GCD of 288, 680, 726, 304?

GCD of given numbers 288, 680, 726, 304 is 2

2. How to calculate the greatest common divisor of 288, 680, 726, 304?

We can find the highest common divisor of 288, 680, 726, 304 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, 680, 726, 304 i.e 2.

3. How can I use the GCD of 288, 680, 726, 304Calculator?

Out the numbers 288, 680, 726, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.