GCD of 289, 466, 884, 335 Calculator

Given Input numbers are 289, 466, 884, 335

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 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 335

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

1, 5, 67, 335

Greatest Common Divisior

We found the divisors of 289, 466, 884, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 466, 884, 335 is 1.

Therefore, GCD of numbers 289, 466, 884, 335 is 1

Given Input Data is 289, 466, 884, 335

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 466 is 2 x 233

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 335 is 5 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, 466) = 134674

GCD(289, 466) = ( 289 x 466 ) / 134674

GCD(289, 466) = 134674 / 134674

GCD(289, 466) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

Step3:

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

GCD of 289, 466, 884, 335 is 1

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1. What is the GCD of 289, 466, 884, 335?

GCD of 289, 466, 884, 335 is 1

2. Where do I get the detailed procedure to find GCD of 289, 466, 884, 335?

You can find a detailed procedure to find GCD of 289, 466, 884, 335 on our page.

3. How to find GCD of 289, 466, 884, 335 on a calculator?

You can find the GCD of 289, 466, 884, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.