GCD of 231, 279, 489, 769 Calculator

Given Input numbers are 231, 279, 489, 769

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 489

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

1, 3, 163, 489

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 231, 279, 489, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 279, 489, 769 is 1.

Therefore, GCD of numbers 231, 279, 489, 769 is 1

Given Input Data is 231, 279, 489, 769

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 489 is 3 x 163

Prime Factorization of 769 is 769

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(231, 279) = 21483

GCD(231, 279) = ( 231 x 279 ) / 21483

GCD(231, 279) = 64449 / 21483

GCD(231, 279) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 489

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

LCM(3, 489) = 489

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

GCD(3, 489) = 1467 / 489

GCD(3, 489) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 769

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

LCM(3, 769) = 2307

GCD(3, 769) = ( 3 x 769 ) / 2307

GCD(3, 769) = 2307 / 2307

GCD(3, 769) = 1

GCD of 231, 279, 489, 769 is 1

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1. What is the GCD of 231, 279, 489, 769?

GCD of 231, 279, 489, 769 is 1

2. Where do I get the detailed procedure to find GCD of 231, 279, 489, 769?

You can find a detailed procedure to find GCD of 231, 279, 489, 769 on our page.

3. How to find GCD of 231, 279, 489, 769 on a calculator?

You can find the GCD of 231, 279, 489, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.