GCD of 428, 730, 53, 796 Calculator

Given Input numbers are 428, 730, 53, 796

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 53

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

1, 53

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 428, 730, 53, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 730, 53, 796 is 1.

Therefore, GCD of numbers 428, 730, 53, 796 is 1

Given Input Data is 428, 730, 53, 796

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 53 is 53

Prime Factorization of 796 is 2 x 2 x 199

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(428, 730) = 156220

GCD(428, 730) = ( 428 x 730 ) / 156220

GCD(428, 730) = 312440 / 156220

GCD(428, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 428, 730, 53, 796 is 1

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1. What is the GCD of 428, 730, 53, 796?

GCD of 428, 730, 53, 796 is 1

2. Where do I get the detailed procedure to find GCD of 428, 730, 53, 796?

You can find a detailed procedure to find GCD of 428, 730, 53, 796 on our page.

3. How to find GCD of 428, 730, 53, 796 on a calculator?

You can find the GCD of 428, 730, 53, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.