GCD of 595, 392, 349 Calculator

Given Input numbers are 595, 392, 349

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

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 595, 392, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 392, 349 is 1.

Therefore, GCD of numbers 595, 392, 349 is 1

Given Input Data is 595, 392, 349

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 349 is 349

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(595, 392) = 33320

GCD(595, 392) = ( 595 x 392 ) / 33320

GCD(595, 392) = 233240 / 33320

GCD(595, 392) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 349

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

LCM(7, 349) = 2443

GCD(7, 349) = ( 7 x 349 ) / 2443

GCD(7, 349) = 2443 / 2443

GCD(7, 349) = 1

GCD of 595, 392, 349 is 1

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1. What is the GCD of 595, 392, 349?

GCD of 595, 392, 349 is 1

2. Where do I get the detailed procedure to find GCD of 595, 392, 349?

You can find a detailed procedure to find GCD of 595, 392, 349 on our page.

3. How to find GCD of 595, 392, 349 on a calculator?

You can find the GCD of 595, 392, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.