GCD of 404, 388, 427, 734 Calculator

Given Input numbers are 404, 388, 427, 734

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 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 404, 388, 427, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 388, 427, 734 is 1.

Therefore, GCD of numbers 404, 388, 427, 734 is 1

Given Input Data is 404, 388, 427, 734

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 388 is 2 x 2 x 97

Prime Factorization of 427 is 7 x 61

Prime Factorization of 734 is 2 x 367

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, 388) = 39188

GCD(404, 388) = ( 404 x 388 ) / 39188

GCD(404, 388) = 156752 / 39188

GCD(404, 388) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 427

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

LCM(4, 427) = 1708

GCD(4, 427) = ( 4 x 427 ) / 1708

GCD(4, 427) = 1708 / 1708

GCD(4, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 404, 388, 427, 734 is 1

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1. What is the GCD of 404, 388, 427, 734?

GCD of 404, 388, 427, 734 is 1

2. Where do I get the detailed procedure to find GCD of 404, 388, 427, 734?

You can find a detailed procedure to find GCD of 404, 388, 427, 734 on our page.

3. How to find GCD of 404, 388, 427, 734 on a calculator?

You can find the GCD of 404, 388, 427, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.