GCD of 489, 306, 411, 144 Calculator

Given Input numbers are 489, 306, 411, 144

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 306 :

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

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

Divisors of 411 :

The positive integer divisors of 411 that completely divides 411 are.

1, 3, 137, 411

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (489, 306, 411, 144) = 3.

Given numbers are 489, 306, 411, 144

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

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

Prime factors of 411 are 3 x 137

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 489, 306, 411, 144 is 3.

Given numbers are 489, 306, 411, 144

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

Apply this formula for all numbers.

Step1:

LCM(489, 306) = 49878

GCD(489, 306) = ( 489 x 306 ) / 49878

= 489 / 306

= 489

Step2:

LCM(3, 411) = 411

GCD(3, 411) = ( 3 x 411 ) / 411

= 3 / 411

= 3

Step3:

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

= 3 / 144

= 3

So, Greatest Common Divisor of 489, 306, 411, 144 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 226, 397, 508
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• GCD of 250, 104, 649, 792
• GCD of 765, 881, 620, 509
• GCD of 502, 385, 471, 727

Given numbers are 489, 306, 411, 144
The greatest common divisor of numbers 489, 306, 411, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 306, 411, 144 is 3.

1. What is the GCD of 489, 306, 411, 144?

GCD of given numbers 489, 306, 411, 144 is 3

2. How to calculate the greatest common divisor of 489, 306, 411, 144?

We can find the highest common divisor of 489, 306, 411, 144 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, 306, 411, 144 i.e 3.

3. How can I use the GCD of 489, 306, 411, 144Calculator?

Out the numbers 489, 306, 411, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.