GCD of 549, 471, 489 Calculator

Given Input numbers are 549, 471, 489

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

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

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 (549, 471, 489) = 3.

Given numbers are 549, 471, 489

The list of prime factors of all numbers are

Prime factors of 549 are 3 x 3 x 61

Prime factors of 471 are 3 x 157

Prime factors of 489 are 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 549, 471, 489 is 3.

Given numbers are 549, 471, 489

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

Apply this formula for all numbers.

Step1:

LCM(549, 471) = 86193

GCD(549, 471) = ( 549 x 471 ) / 86193

= 549 / 471

= 549

Step2:

LCM(3, 489) = 489

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

= 3 / 489

= 3

So, Greatest Common Divisor of 549, 471, 489 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 241, 932
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Given numbers are 549, 471, 489
The greatest common divisor of numbers 549, 471, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 549, 471, 489 is 3.

1. What is the GCD of 549, 471, 489?

GCD of given numbers 549, 471, 489 is 3

2. How to calculate the greatest common divisor of 549, 471, 489?

We can find the highest common divisor of 549, 471, 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 549, 471, 489 i.e 3.

3. How can I use the GCD of 549, 471, 489Calculator?

Out the numbers 549, 471, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.