GCD of 349, 928, 726, 346 Calculator

Given Input numbers are 349, 928, 726, 346

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 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 349, 928, 726, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 928, 726, 346 is 1.

Therefore, GCD of numbers 349, 928, 726, 346 is 1

Given Input Data is 349, 928, 726, 346

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

Prime Factorization of 349 is 349

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 346 is 2 x 173

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, 928) = 323872

GCD(349, 928) = ( 349 x 928 ) / 323872

GCD(349, 928) = 323872 / 323872

GCD(349, 928) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 349, 928, 726, 346 is 1

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1. What is the GCD of 349, 928, 726, 346?

GCD of 349, 928, 726, 346 is 1

2. Where do I get the detailed procedure to find GCD of 349, 928, 726, 346?

You can find a detailed procedure to find GCD of 349, 928, 726, 346 on our page.

3. How to find GCD of 349, 928, 726, 346 on a calculator?

You can find the GCD of 349, 928, 726, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.