GCD of 489, 815, 493, 180 Calculator

Given Input numbers are 489, 815, 493, 180

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 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815

Divisors of 493 :

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

1, 17, 29, 493

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (489, 815, 493, 180) = 1.

Given numbers are 489, 815, 493, 180

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 815 are 5 x 163

Prime factors of 493 are 17 x 29

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Given numbers are 489, 815, 493, 180

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

Apply this formula for all numbers.

Step1:

LCM(489, 815) = 2445

GCD(489, 815) = ( 489 x 815 ) / 2445

= 489 / 815

= 489

Step2:

LCM(163, 493) = 80359

GCD(163, 493) = ( 163 x 493 ) / 80359

= 163 / 493

= 163

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 489, 815, 493, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 331, 495, 844
• GCD of 971, 254, 282, 667
• GCD of 748, 109, 254, 925
• GCD of 975, 694, 785, 309
• GCD of 825, 273, 122, 118

Given numbers are 489, 815, 493, 180
The greatest common divisor of numbers 489, 815, 493, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 815, 493, 180 is 1.

1. What is the GCD of 489, 815, 493, 180?

GCD of given numbers 489, 815, 493, 180 is 1

2. How to calculate the greatest common divisor of 489, 815, 493, 180?

We can find the highest common divisor of 489, 815, 493, 180 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, 815, 493, 180 i.e 1.

3. How can I use the GCD of 489, 815, 493, 180Calculator?

Out the numbers 489, 815, 493, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.