GCD of 438, 489, 73, 269 Calculator

Given Input numbers are 438, 489, 73, 269

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 489

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

1, 3, 163, 489

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 438, 489, 73, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 489, 73, 269 is 1.

Therefore, GCD of numbers 438, 489, 73, 269 is 1

Given Input Data is 438, 489, 73, 269

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 489 is 3 x 163

Prime Factorization of 73 is 73

Prime Factorization of 269 is 269

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(438, 489) = 71394

GCD(438, 489) = ( 438 x 489 ) / 71394

GCD(438, 489) = 214182 / 71394

GCD(438, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 438, 489, 73, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 260, 63, 511
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• GCD of 480, 353, 28, 502
• GCD of 905, 987, 31, 658
• GCD of 412, 639, 72, 555

1. What is the GCD of 438, 489, 73, 269?

GCD of 438, 489, 73, 269 is 1

2. Where do I get the detailed procedure to find GCD of 438, 489, 73, 269?

You can find a detailed procedure to find GCD of 438, 489, 73, 269 on our page.

3. How to find GCD of 438, 489, 73, 269 on a calculator?

You can find the GCD of 438, 489, 73, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.