GCD of 289, 298, 469 Calculator

Given Input numbers are 289, 298, 469

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

Divisors of 289

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

1, 17, 289

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 289, 298, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 298, 469 is 1.

Therefore, GCD of numbers 289, 298, 469 is 1

Given Input Data is 289, 298, 469

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 298 is 2 x 149

Prime Factorization of 469 is 7 x 67

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(289, 298) = 86122

GCD(289, 298) = ( 289 x 298 ) / 86122

GCD(289, 298) = 86122 / 86122

GCD(289, 298) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 289, 298, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 784, 854
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• GCD of 547, 394, 617
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1. What is the GCD of 289, 298, 469?

GCD of 289, 298, 469 is 1

2. Where do I get the detailed procedure to find GCD of 289, 298, 469?

You can find a detailed procedure to find GCD of 289, 298, 469 on our page.

3. How to find GCD of 289, 298, 469 on a calculator?

You can find the GCD of 289, 298, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.