GCD of 489, 660, 904, 214 Calculator

Given Input numbers are 489, 660, 904, 214

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (489, 660, 904, 214) = 1.

Given numbers are 489, 660, 904, 214

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 214 are 2 x 107

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

Given numbers are 489, 660, 904, 214

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

Apply this formula for all numbers.

Step1:

LCM(489, 660) = 107580

GCD(489, 660) = ( 489 x 660 ) / 107580

= 489 / 660

= 489

Step2:

LCM(3, 904) = 2712

GCD(3, 904) = ( 3 x 904 ) / 2712

= 3 / 904

= 3

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 489, 660, 904, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 927, 319, 968
• GCD of 747, 211, 303, 806
• GCD of 171, 791, 140, 230
• GCD of 476, 718, 687, 908
• GCD of 667, 476, 522, 288

Given numbers are 489, 660, 904, 214
The greatest common divisor of numbers 489, 660, 904, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 660, 904, 214 is 1.

1. What is the GCD of 489, 660, 904, 214?

GCD of given numbers 489, 660, 904, 214 is 1

2. How to calculate the greatest common divisor of 489, 660, 904, 214?

We can find the highest common divisor of 489, 660, 904, 214 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, 660, 904, 214 i.e 1.

3. How can I use the GCD of 489, 660, 904, 214Calculator?

Out the numbers 489, 660, 904, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.