GCD of 320, 804, 304, 588 Calculator

Given Input numbers are 320, 804, 304, 588

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

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 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 304 :

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

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (320, 804, 304, 588) = 4.

Given numbers are 320, 804, 304, 588

The list of prime factors of all numbers are

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

Prime factors of 804 are 2 x 2 x 3 x 67

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

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 2²

Therefore, GCD of 320, 804, 304, 588 is 4.

Given numbers are 320, 804, 304, 588

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

Apply this formula for all numbers.

Step1:

LCM(320, 804) = 64320

GCD(320, 804) = ( 320 x 804 ) / 64320

= 320 / 804

= 320

Step2:

LCM(4, 304) = 304

GCD(4, 304) = ( 4 x 304 ) / 304

= 4 / 304

= 4

Step3:

LCM(4, 588) = 588

GCD(4, 588) = ( 4 x 588 ) / 588

= 4 / 588

= 4

So, Greatest Common Divisor of 320, 804, 304, 588 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 414, 567, 847
• GCD of 404, 270, 411, 435
• GCD of 426, 467, 274, 292
• GCD of 522, 594, 985, 277
• GCD of 789, 268, 667, 838

Given numbers are 320, 804, 304, 588
The greatest common divisor of numbers 320, 804, 304, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 804, 304, 588 is 4.

1. What is the GCD of 320, 804, 304, 588?

GCD of given numbers 320, 804, 304, 588 is 4

2. How to calculate the greatest common divisor of 320, 804, 304, 588?

We can find the highest common divisor of 320, 804, 304, 588 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 320, 804, 304, 588 i.e 4.

3. How can I use the GCD of 320, 804, 304, 588Calculator?

Out the numbers 320, 804, 304, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.