GCD of 416, 611, 14, 489 Calculator

Given Input numbers are 416, 611, 14, 489

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 416, 611, 14, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 611, 14, 489 is 1.

Therefore, GCD of numbers 416, 611, 14, 489 is 1

Given Input Data is 416, 611, 14, 489

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 611 is 13 x 47

Prime Factorization of 14 is 2 x 7

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(416, 611) = 19552

GCD(416, 611) = ( 416 x 611 ) / 19552

GCD(416, 611) = 254176 / 19552

GCD(416, 611) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 14

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

LCM(13, 14) = 182

GCD(13, 14) = ( 13 x 14 ) / 182

GCD(13, 14) = 182 / 182

GCD(13, 14) = 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 416, 611, 14, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 889, 63, 947
• GCD of 479, 330, 80, 944
• GCD of 523, 397, 57, 284
• GCD of 640, 597, 58, 709
• GCD of 374, 349, 74, 477

1. What is the GCD of 416, 611, 14, 489?

GCD of 416, 611, 14, 489 is 1

2. Where do I get the detailed procedure to find GCD of 416, 611, 14, 489?

You can find a detailed procedure to find GCD of 416, 611, 14, 489 on our page.

3. How to find GCD of 416, 611, 14, 489 on a calculator?

You can find the GCD of 416, 611, 14, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.