GCD of 382, 309, 760, 349 Calculator

Given Input numbers are 382, 309, 760, 349

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

Divisors of 382

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

1, 2, 191, 382

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 382, 309, 760, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 309, 760, 349 is 1.

Therefore, GCD of numbers 382, 309, 760, 349 is 1

Given Input Data is 382, 309, 760, 349

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 309 is 3 x 103

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(382, 309) = 118038

GCD(382, 309) = ( 382 x 309 ) / 118038

GCD(382, 309) = 118038 / 118038

GCD(382, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 382, 309, 760, 349 is 1

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1. What is the GCD of 382, 309, 760, 349?

GCD of 382, 309, 760, 349 is 1

2. Where do I get the detailed procedure to find GCD of 382, 309, 760, 349?

You can find a detailed procedure to find GCD of 382, 309, 760, 349 on our page.

3. How to find GCD of 382, 309, 760, 349 on a calculator?

You can find the GCD of 382, 309, 760, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.