GCD of 288, 304, 165, 424 Calculator

Given Input numbers are 288, 304, 165, 424

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 304 :

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

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (288, 304, 165, 424) = 1.

Given numbers are 288, 304, 165, 424

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 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 165 are 3 x 5 x 11

Prime factors of 424 are 2 x 2 x 2 x 53

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 288, 304, 165, 424

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

Apply this formula for all numbers.

Step1:

LCM(288, 304) = 5472

GCD(288, 304) = ( 288 x 304 ) / 5472

= 288 / 304

= 288

Step2:

LCM(16, 165) = 2640

GCD(16, 165) = ( 16 x 165 ) / 2640

= 16 / 165

= 16

Step3:

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

= 1 / 424

= 1

So, Greatest Common Divisor of 288, 304, 165, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 875, 155, 194
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• GCD of 683, 651, 474, 207
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Given numbers are 288, 304, 165, 424
The greatest common divisor of numbers 288, 304, 165, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 304, 165, 424 is 1.

1. What is the GCD of 288, 304, 165, 424?

GCD of given numbers 288, 304, 165, 424 is 1

2. How to calculate the greatest common divisor of 288, 304, 165, 424?

We can find the highest common divisor of 288, 304, 165, 424 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, 304, 165, 424 i.e 1.

3. How can I use the GCD of 288, 304, 165, 424Calculator?

Out the numbers 288, 304, 165, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.