GCD of 349, 399, 58, 268 Calculator

Given Input numbers are 349, 399, 58, 268

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

Divisors of 349

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

1, 349

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 58

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

1, 2, 29, 58

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 349, 399, 58, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 399, 58, 268 is 1.

Therefore, GCD of numbers 349, 399, 58, 268 is 1

Given Input Data is 349, 399, 58, 268

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

Prime Factorization of 349 is 349

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 58 is 2 x 29

Prime Factorization of 268 is 2 x 2 x 67

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(349, 399) = 139251

GCD(349, 399) = ( 349 x 399 ) / 139251

GCD(349, 399) = 139251 / 139251

GCD(349, 399) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 349, 399, 58, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 120, 12, 820
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• GCD of 576, 201, 67, 183

1. What is the GCD of 349, 399, 58, 268?

GCD of 349, 399, 58, 268 is 1

2. Where do I get the detailed procedure to find GCD of 349, 399, 58, 268?

You can find a detailed procedure to find GCD of 349, 399, 58, 268 on our page.

3. How to find GCD of 349, 399, 58, 268 on a calculator?

You can find the GCD of 349, 399, 58, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.