GCD of 329, 392, 58 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 329, 392, 58 i.e. 1 largest integer that divides all the numbers equally.

GCD of 329, 392, 58 is 1

GCD(329, 392, 58) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 329, 392, 58 is 1

GCD(329, 392, 58) = 1

GCD of 329,392,58 Calculator

GCDof 329,392,58 is 1

Given Input numbers are 329, 392, 58

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

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

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 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Greatest Common Divisior

We found the divisors of 329, 392, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 392, 58 is 1.

Therefore, GCD of numbers 329, 392, 58 is 1

Finding GCD of 329, 392, 58 using Prime Factorization

Given Input Data is 329, 392, 58

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

Prime Factorization of 329 is 7 x 47

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

Prime Factorization of 58 is 2 x 29

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 329, 392, 58 using LCM Formula

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(329, 392) = 18424

GCD(329, 392) = ( 329 x 392 ) / 18424

GCD(329, 392) = 128968 / 18424

GCD(329, 392) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 58

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

LCM(7, 58) = 406

GCD(7, 58) = ( 7 x 58 ) / 406

GCD(7, 58) = 406 / 406

GCD(7, 58) = 1

GCD of 329, 392, 58 is 1

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FAQs on GCD of numbers 329, 392, 58

1. What is the GCD of 329, 392, 58?

GCD of 329, 392, 58 is 1

2. Where do I get the detailed procedure to find GCD of 329, 392, 58?

You can find a detailed procedure to find GCD of 329, 392, 58 on our page.

3. How to find GCD of 329, 392, 58 on a calculator?

You can find the GCD of 329, 392, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.