GCD of 489, 516, 442, 288 Calculator

Given Input numbers are 489, 516, 442, 288

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

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

GCD of numbers is the greatest common divisor

So, the GCD (489, 516, 442, 288) = 1.

Given numbers are 489, 516, 442, 288

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 442 are 2 x 13 x 17

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

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

Given numbers are 489, 516, 442, 288

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

Apply this formula for all numbers.

Step1:

LCM(489, 516) = 84108

GCD(489, 516) = ( 489 x 516 ) / 84108

= 489 / 516

= 489

Step2:

LCM(3, 442) = 1326

GCD(3, 442) = ( 3 x 442 ) / 1326

= 3 / 442

= 3

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 489, 516, 442, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 113, 707, 982
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Given numbers are 489, 516, 442, 288
The greatest common divisor of numbers 489, 516, 442, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 516, 442, 288 is 1.

1. What is the GCD of 489, 516, 442, 288?

GCD of given numbers 489, 516, 442, 288 is 1

2. How to calculate the greatest common divisor of 489, 516, 442, 288?

We can find the highest common divisor of 489, 516, 442, 288 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 489, 516, 442, 288 i.e 1.

3. How can I use the GCD of 489, 516, 442, 288Calculator?

Out the numbers 489, 516, 442, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.