GCD of 489, 285, 493, 270 Calculator

Given Input numbers are 489, 285, 493, 270

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 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (489, 285, 493, 270) = 1.

Given numbers are 489, 285, 493, 270

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 285 are 3 x 5 x 19

Prime factors of 493 are 17 x 29

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Given numbers are 489, 285, 493, 270

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

Apply this formula for all numbers.

Step1:

LCM(489, 285) = 46455

GCD(489, 285) = ( 489 x 285 ) / 46455

= 489 / 285

= 489

Step2:

LCM(3, 493) = 1479

GCD(3, 493) = ( 3 x 493 ) / 1479

= 3 / 493

= 3

Step3:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1

So, Greatest Common Divisor of 489, 285, 493, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 862, 509, 367
• GCD of 106, 542, 626, 168
• GCD of 876, 170, 599, 195
• GCD of 632, 162, 710, 919
• GCD of 720, 692, 625, 184

Given numbers are 489, 285, 493, 270
The greatest common divisor of numbers 489, 285, 493, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 285, 493, 270 is 1.

1. What is the GCD of 489, 285, 493, 270?

GCD of given numbers 489, 285, 493, 270 is 1

2. How to calculate the greatest common divisor of 489, 285, 493, 270?

We can find the highest common divisor of 489, 285, 493, 270 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, 285, 493, 270 i.e 1.

3. How can I use the GCD of 489, 285, 493, 270Calculator?

Out the numbers 489, 285, 493, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.