GCD of 289, 423, 335, 302 Calculator

Given Input numbers are 289, 423, 335, 302

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 289, 423, 335, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 423, 335, 302 is 1.

Therefore, GCD of numbers 289, 423, 335, 302 is 1

Given Input Data is 289, 423, 335, 302

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 335 is 5 x 67

Prime Factorization of 302 is 2 x 151

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, 423) = 122247

GCD(289, 423) = ( 289 x 423 ) / 122247

GCD(289, 423) = 122247 / 122247

GCD(289, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 335

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

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

GCD(1, 335) = 335 / 335

GCD(1, 335) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 289, 423, 335, 302 is 1

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1. What is the GCD of 289, 423, 335, 302?

GCD of 289, 423, 335, 302 is 1

2. Where do I get the detailed procedure to find GCD of 289, 423, 335, 302?

You can find a detailed procedure to find GCD of 289, 423, 335, 302 on our page.

3. How to find GCD of 289, 423, 335, 302 on a calculator?

You can find the GCD of 289, 423, 335, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.