GCD of 489, 993, 726, 306 Calculator

Given Input numbers are 489, 993, 726, 306

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 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (489, 993, 726, 306) = 3.

Given numbers are 489, 993, 726, 306

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 993 are 3 x 331

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 306 are 2 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 489, 993, 726, 306 is 3.

Given numbers are 489, 993, 726, 306

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

Apply this formula for all numbers.

Step1:

LCM(489, 993) = 161859

GCD(489, 993) = ( 489 x 993 ) / 161859

= 489 / 993

= 489

Step2:

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

= 3 / 726

= 3

Step3:

LCM(3, 306) = 306

GCD(3, 306) = ( 3 x 306 ) / 306

= 3 / 306

= 3

So, Greatest Common Divisor of 489, 993, 726, 306 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 850, 120, 437
• GCD of 142, 181, 561, 585
• GCD of 783, 245, 560, 124
• GCD of 433, 173, 273, 994
• GCD of 437, 283, 975, 215

Given numbers are 489, 993, 726, 306
The greatest common divisor of numbers 489, 993, 726, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 993, 726, 306 is 3.

1. What is the GCD of 489, 993, 726, 306?

GCD of given numbers 489, 993, 726, 306 is 3

2. How to calculate the greatest common divisor of 489, 993, 726, 306?

We can find the highest common divisor of 489, 993, 726, 306 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, 993, 726, 306 i.e 3.

3. How can I use the GCD of 489, 993, 726, 306Calculator?

Out the numbers 489, 993, 726, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.