GCD of 344, 142, 609, 358 Calculator

Given Input numbers are 344, 142, 609, 358

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 344, 142, 609, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 142, 609, 358 is 1.

Therefore, GCD of numbers 344, 142, 609, 358 is 1

Given Input Data is 344, 142, 609, 358

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 142 is 2 x 71

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 358 is 2 x 179

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(344, 142) = 24424

GCD(344, 142) = ( 344 x 142 ) / 24424

GCD(344, 142) = 48848 / 24424

GCD(344, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 609

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

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

GCD(2, 609) = 1218 / 1218

GCD(2, 609) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 344, 142, 609, 358 is 1

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1. What is the GCD of 344, 142, 609, 358?

GCD of 344, 142, 609, 358 is 1

2. Where do I get the detailed procedure to find GCD of 344, 142, 609, 358?

You can find a detailed procedure to find GCD of 344, 142, 609, 358 on our page.

3. How to find GCD of 344, 142, 609, 358 on a calculator?

You can find the GCD of 344, 142, 609, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.