GCD of 489, 320, 211, 105 Calculator

Given Input numbers are 489, 320, 211, 105

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 211 :

The positive integer divisors of 211 that completely divides 211 are.

1, 211

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (489, 320, 211, 105) = 1.

Given numbers are 489, 320, 211, 105

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 211 are 211

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 489, 320, 211, 105

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

Apply this formula for all numbers.

Step1:

LCM(489, 320) = 156480

GCD(489, 320) = ( 489 x 320 ) / 156480

= 489 / 320

= 489

Step2:

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

= 1 / 211

= 1

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 489, 320, 211, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 881, 326, 357, 371
• GCD of 761, 433, 340, 487
• GCD of 717, 278, 151, 249
• GCD of 203, 173, 404, 518
• GCD of 615, 260, 785, 617

Given numbers are 489, 320, 211, 105
The greatest common divisor of numbers 489, 320, 211, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 320, 211, 105 is 1.

1. What is the GCD of 489, 320, 211, 105?

GCD of given numbers 489, 320, 211, 105 is 1

2. How to calculate the greatest common divisor of 489, 320, 211, 105?

We can find the highest common divisor of 489, 320, 211, 105 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, 320, 211, 105 i.e 1.

3. How can I use the GCD of 489, 320, 211, 105Calculator?

Out the numbers 489, 320, 211, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.