GCD of 129, 340, 42 Calculator

Given Input numbers are 129, 340, 42

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

Divisors of 129

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

1, 3, 43, 129

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Greatest Common Divisior

We found the divisors of 129, 340, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 340, 42 is 1.

Therefore, GCD of numbers 129, 340, 42 is 1

Given Input Data is 129, 340, 42

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

Prime Factorization of 129 is 3 x 43

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

Prime Factorization of 42 is 2 x 3 x 7

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(129, 340) = 43860

GCD(129, 340) = ( 129 x 340 ) / 43860

GCD(129, 340) = 43860 / 43860

GCD(129, 340) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

GCD of 129, 340, 42 is 1

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1. What is the GCD of 129, 340, 42?

GCD of 129, 340, 42 is 1

2. Where do I get the detailed procedure to find GCD of 129, 340, 42?

You can find a detailed procedure to find GCD of 129, 340, 42 on our page.

3. How to find GCD of 129, 340, 42 on a calculator?

You can find the GCD of 129, 340, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.