GCD of 349, 334, 53, 605 Calculator

Given Input numbers are 349, 334, 53, 605

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 349, 334, 53, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 334, 53, 605 is 1.

Therefore, GCD of numbers 349, 334, 53, 605 is 1

Given Input Data is 349, 334, 53, 605

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

Prime Factorization of 349 is 349

Prime Factorization of 334 is 2 x 167

Prime Factorization of 53 is 53

Prime Factorization of 605 is 5 x 11 x 11

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, 334) = 116566

GCD(349, 334) = ( 349 x 334 ) / 116566

GCD(349, 334) = 116566 / 116566

GCD(349, 334) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

GCD of 349, 334, 53, 605 is 1

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1. What is the GCD of 349, 334, 53, 605?

GCD of 349, 334, 53, 605 is 1

2. Where do I get the detailed procedure to find GCD of 349, 334, 53, 605?

You can find a detailed procedure to find GCD of 349, 334, 53, 605 on our page.

3. How to find GCD of 349, 334, 53, 605 on a calculator?

You can find the GCD of 349, 334, 53, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.