GCD of 34, 310, 233, 689 Calculator

Given Input numbers are 34, 310, 233, 689

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

Divisors of 34

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

1, 2, 17, 34

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 34, 310, 233, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 310, 233, 689 is 1.

Therefore, GCD of numbers 34, 310, 233, 689 is 1

Given Input Data is 34, 310, 233, 689

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 233 is 233

Prime Factorization of 689 is 13 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(34, 310) = 5270

GCD(34, 310) = ( 34 x 310 ) / 5270

GCD(34, 310) = 10540 / 5270

GCD(34, 310) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 233

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

LCM(2, 233) = 466

GCD(2, 233) = ( 2 x 233 ) / 466

GCD(2, 233) = 466 / 466

GCD(2, 233) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 34, 310, 233, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 568, 525, 156
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• GCD of 27, 909, 228, 449

1. What is the GCD of 34, 310, 233, 689?

GCD of 34, 310, 233, 689 is 1

2. Where do I get the detailed procedure to find GCD of 34, 310, 233, 689?

You can find a detailed procedure to find GCD of 34, 310, 233, 689 on our page.

3. How to find GCD of 34, 310, 233, 689 on a calculator?

You can find the GCD of 34, 310, 233, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.