GCD of 349, 764, 414, 729 Calculator

Given Input numbers are 349, 764, 414, 729

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 349, 764, 414, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 764, 414, 729 is 1.

Therefore, GCD of numbers 349, 764, 414, 729 is 1

Given Input Data is 349, 764, 414, 729

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

Prime Factorization of 349 is 349

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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, 764) = 266636

GCD(349, 764) = ( 349 x 764 ) / 266636

GCD(349, 764) = 266636 / 266636

GCD(349, 764) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 349, 764, 414, 729 is 1

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1. What is the GCD of 349, 764, 414, 729?

GCD of 349, 764, 414, 729 is 1

2. Where do I get the detailed procedure to find GCD of 349, 764, 414, 729?

You can find a detailed procedure to find GCD of 349, 764, 414, 729 on our page.

3. How to find GCD of 349, 764, 414, 729 on a calculator?

You can find the GCD of 349, 764, 414, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.