GCD of 289, 882, 34, 318 Calculator

Given Input numbers are 289, 882, 34, 318

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 289, 882, 34, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 882, 34, 318 is 1.

Therefore, GCD of numbers 289, 882, 34, 318 is 1

Given Input Data is 289, 882, 34, 318

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 34 is 2 x 17

Prime Factorization of 318 is 2 x 3 x 53

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, 882) = 254898

GCD(289, 882) = ( 289 x 882 ) / 254898

GCD(289, 882) = 254898 / 254898

GCD(289, 882) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 289, 882, 34, 318 is 1

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1. What is the GCD of 289, 882, 34, 318?

GCD of 289, 882, 34, 318 is 1

2. Where do I get the detailed procedure to find GCD of 289, 882, 34, 318?

You can find a detailed procedure to find GCD of 289, 882, 34, 318 on our page.

3. How to find GCD of 289, 882, 34, 318 on a calculator?

You can find the GCD of 289, 882, 34, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.