GCD of 689, 710, 342 Calculator

Given Input numbers are 689, 710, 342

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

Divisors of 689

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

1, 13, 53, 689

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 689, 710, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 710, 342 is 1.

Therefore, GCD of numbers 689, 710, 342 is 1

Given Input Data is 689, 710, 342

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(689, 710) = 489190

GCD(689, 710) = ( 689 x 710 ) / 489190

GCD(689, 710) = 489190 / 489190

GCD(689, 710) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 689, 710, 342 is 1

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1. What is the GCD of 689, 710, 342?

GCD of 689, 710, 342 is 1

2. Where do I get the detailed procedure to find GCD of 689, 710, 342?

You can find a detailed procedure to find GCD of 689, 710, 342 on our page.

3. How to find GCD of 689, 710, 342 on a calculator?

You can find the GCD of 689, 710, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.