GCD of 663, 438, 489 Calculator

Given Input numbers are 663, 438, 489

In the factoring method, we have to find the divisors of all numbers

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (663, 438, 489) = 3.

Given numbers are 663, 438, 489

The list of prime factors of all numbers are

Prime factors of 663 are 3 x 13 x 17

Prime factors of 438 are 2 x 3 x 73

Prime factors of 489 are 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 663, 438, 489 is 3.

Given numbers are 663, 438, 489

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

Apply this formula for all numbers.

Step1:

LCM(663, 438) = 96798

GCD(663, 438) = ( 663 x 438 ) / 96798

= 663 / 438

= 663

Step2:

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

= 3 / 489

= 3

So, Greatest Common Divisor of 663, 438, 489 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 375, 751
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• GCD of 931, 303, 656
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Given numbers are 663, 438, 489
The greatest common divisor of numbers 663, 438, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 438, 489 is 3.

1. What is the GCD of 663, 438, 489?

GCD of given numbers 663, 438, 489 is 3

2. How to calculate the greatest common divisor of 663, 438, 489?

We can find the highest common divisor of 663, 438, 489 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 663, 438, 489 i.e 3.

3. How can I use the GCD of 663, 438, 489Calculator?

Out the numbers 663, 438, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.