GCD of 404, 294, 739, 706 Calculator

Given Input numbers are 404, 294, 739, 706

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 404, 294, 739, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 294, 739, 706 is 1.

Therefore, GCD of numbers 404, 294, 739, 706 is 1

Given Input Data is 404, 294, 739, 706

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 739 is 739

Prime Factorization of 706 is 2 x 353

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(404, 294) = 59388

GCD(404, 294) = ( 404 x 294 ) / 59388

GCD(404, 294) = 118776 / 59388

GCD(404, 294) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 739

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

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

GCD(2, 739) = 1478 / 1478

GCD(2, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 404, 294, 739, 706 is 1

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1. What is the GCD of 404, 294, 739, 706?

GCD of 404, 294, 739, 706 is 1

2. Where do I get the detailed procedure to find GCD of 404, 294, 739, 706?

You can find a detailed procedure to find GCD of 404, 294, 739, 706 on our page.

3. How to find GCD of 404, 294, 739, 706 on a calculator?

You can find the GCD of 404, 294, 739, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.