GCD of 489, 351, 336, 966 Calculator

Given Input numbers are 489, 351, 336, 966

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 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (489, 351, 336, 966) = 3.

Given numbers are 489, 351, 336, 966

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 3¹

Therefore, GCD of 489, 351, 336, 966 is 3.

Given numbers are 489, 351, 336, 966

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

Apply this formula for all numbers.

Step1:

LCM(489, 351) = 57213

GCD(489, 351) = ( 489 x 351 ) / 57213

= 489 / 351

= 489

Step2:

LCM(3, 336) = 336

GCD(3, 336) = ( 3 x 336 ) / 336

= 3 / 336

= 3

Step3:

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

= 3 / 966

= 3

So, Greatest Common Divisor of 489, 351, 336, 966 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 964, 547, 979
• GCD of 782, 751, 938, 625
• GCD of 855, 198, 882, 827
• GCD of 803, 828, 757, 734
• GCD of 827, 582, 862, 944

Given numbers are 489, 351, 336, 966
The greatest common divisor of numbers 489, 351, 336, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 351, 336, 966 is 3.

1. What is the GCD of 489, 351, 336, 966?

GCD of given numbers 489, 351, 336, 966 is 3

2. How to calculate the greatest common divisor of 489, 351, 336, 966?

We can find the highest common divisor of 489, 351, 336, 966 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, 351, 336, 966 i.e 3.

3. How can I use the GCD of 489, 351, 336, 966Calculator?

Out the numbers 489, 351, 336, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.