GCD of 209, 489, 108 Calculator

Given Input numbers are 209, 489, 108

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (209, 489, 108) = 1.

Given numbers are 209, 489, 108

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 489 are 3 x 163

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 209, 489, 108

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

Apply this formula for all numbers.

Step1:

LCM(209, 489) = 102201

GCD(209, 489) = ( 209 x 489 ) / 102201

= 209 / 489

= 209

Step2:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

So, Greatest Common Divisor of 209, 489, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 628, 484
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Given numbers are 209, 489, 108
The greatest common divisor of numbers 209, 489, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 489, 108 is 1.

1. What is the GCD of 209, 489, 108?

GCD of given numbers 209, 489, 108 is 1

2. How to calculate the greatest common divisor of 209, 489, 108?

We can find the highest common divisor of 209, 489, 108 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 209, 489, 108 i.e 1.

3. How can I use the GCD of 209, 489, 108Calculator?

Out the numbers 209, 489, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.