GCD of 392, 602, 58, 349 Calculator

Given Input numbers are 392, 602, 58, 349

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

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 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 58

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

1, 2, 29, 58

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 392, 602, 58, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 602, 58, 349 is 1.

Therefore, GCD of numbers 392, 602, 58, 349 is 1

Given Input Data is 392, 602, 58, 349

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

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

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 58 is 2 x 29

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(392, 602) = 16856

GCD(392, 602) = ( 392 x 602 ) / 16856

GCD(392, 602) = 235984 / 16856

GCD(392, 602) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 58

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

LCM(14, 58) = 406

GCD(14, 58) = ( 14 x 58 ) / 406

GCD(14, 58) = 812 / 406

GCD(14, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 1

GCD of 392, 602, 58, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 447, 55, 852
• GCD of 355, 623, 81, 985
• GCD of 967, 297, 57, 367
• GCD of 852, 495, 69, 367
• GCD of 382, 454, 15, 461

1. What is the GCD of 392, 602, 58, 349?

GCD of 392, 602, 58, 349 is 1

2. Where do I get the detailed procedure to find GCD of 392, 602, 58, 349?

You can find a detailed procedure to find GCD of 392, 602, 58, 349 on our page.

3. How to find GCD of 392, 602, 58, 349 on a calculator?

You can find the GCD of 392, 602, 58, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.