GCD of 689, 330, 354 Calculator

Given Input numbers are 689, 330, 354

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 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 689, 330, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 330, 354 is 1.

Therefore, GCD of numbers 689, 330, 354 is 1

Given Input Data is 689, 330, 354

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 354 is 2 x 3 x 59

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, 330) = 227370

GCD(689, 330) = ( 689 x 330 ) / 227370

GCD(689, 330) = 227370 / 227370

GCD(689, 330) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 689, 330, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 721, 907
• GCD of 297, 644, 489
• GCD of 651, 671, 433
• GCD of 598, 887, 297
• GCD of 766, 890, 831

1. What is the GCD of 689, 330, 354?

GCD of 689, 330, 354 is 1

2. Where do I get the detailed procedure to find GCD of 689, 330, 354?

You can find a detailed procedure to find GCD of 689, 330, 354 on our page.

3. How to find GCD of 689, 330, 354 on a calculator?

You can find the GCD of 689, 330, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.