GCD of 345, 697, 340, 129 Calculator

Given Input numbers are 345, 697, 340, 129

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 345, 697, 340, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 697, 340, 129 is 1.

Therefore, GCD of numbers 345, 697, 340, 129 is 1

Given Input Data is 345, 697, 340, 129

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 697 is 17 x 41

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 129 is 3 x 43

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(345, 697) = 240465

GCD(345, 697) = ( 345 x 697 ) / 240465

GCD(345, 697) = 240465 / 240465

GCD(345, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 345, 697, 340, 129 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 892, 229, 187
• GCD of 665, 965, 492, 374
• GCD of 785, 191, 233, 851
• GCD of 539, 596, 731, 286
• GCD of 322, 723, 699, 258

1. What is the GCD of 345, 697, 340, 129?

GCD of 345, 697, 340, 129 is 1

2. Where do I get the detailed procedure to find GCD of 345, 697, 340, 129?

You can find a detailed procedure to find GCD of 345, 697, 340, 129 on our page.

3. How to find GCD of 345, 697, 340, 129 on a calculator?

You can find the GCD of 345, 697, 340, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.