GCD of 849, 289, 71, 489 Calculator

Given Input numbers are 849, 289, 71, 489

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 849, 289, 71, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 289, 71, 489 is 1.

Therefore, GCD of numbers 849, 289, 71, 489 is 1

Given Input Data is 849, 289, 71, 489

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 849 is 3 x 283

Prime Factorization of 289 is 17 x 17

Prime Factorization of 71 is 71

Prime Factorization of 489 is 3 x 163

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(849, 289) = 245361

GCD(849, 289) = ( 849 x 289 ) / 245361

GCD(849, 289) = 245361 / 245361

GCD(849, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 849, 289, 71, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 170, 14, 858
• GCD of 127, 101, 17, 495
• GCD of 176, 405, 47, 147
• GCD of 132, 432, 46, 226
• GCD of 131, 240, 31, 314

1. What is the GCD of 849, 289, 71, 489?

GCD of 849, 289, 71, 489 is 1

2. Where do I get the detailed procedure to find GCD of 849, 289, 71, 489?

You can find a detailed procedure to find GCD of 849, 289, 71, 489 on our page.

3. How to find GCD of 849, 289, 71, 489 on a calculator?

You can find the GCD of 849, 289, 71, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.