GCD of 349, 111, 613, 382 Calculator

Given Input numbers are 349, 111, 613, 382

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 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 349, 111, 613, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 111, 613, 382 is 1.

Therefore, GCD of numbers 349, 111, 613, 382 is 1

Given Input Data is 349, 111, 613, 382

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

Prime Factorization of 349 is 349

Prime Factorization of 111 is 3 x 37

Prime Factorization of 613 is 613

Prime Factorization of 382 is 2 x 191

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, 111) = 38739

GCD(349, 111) = ( 349 x 111 ) / 38739

GCD(349, 111) = 38739 / 38739

GCD(349, 111) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 349, 111, 613, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 497, 237, 221, 780
• GCD of 723, 860, 335, 523
• GCD of 757, 577, 696, 832
• GCD of 354, 831, 158, 997
• GCD of 765, 960, 316, 750

1. What is the GCD of 349, 111, 613, 382?

GCD of 349, 111, 613, 382 is 1

2. Where do I get the detailed procedure to find GCD of 349, 111, 613, 382?

You can find a detailed procedure to find GCD of 349, 111, 613, 382 on our page.

3. How to find GCD of 349, 111, 613, 382 on a calculator?

You can find the GCD of 349, 111, 613, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.