GCD of 421, 728, 28, 307 Calculator

Given Input numbers are 421, 728, 28, 307

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 421, 728, 28, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 728, 28, 307 is 1.

Therefore, GCD of numbers 421, 728, 28, 307 is 1

Given Input Data is 421, 728, 28, 307

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

Prime Factorization of 421 is 421

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 307 is 307

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(421, 728) = 306488

GCD(421, 728) = ( 421 x 728 ) / 306488

GCD(421, 728) = 306488 / 306488

GCD(421, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 421, 728, 28, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 385, 25, 189
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• GCD of 406, 713, 27, 543
• GCD of 336, 889, 43, 153
• GCD of 294, 484, 58, 989

1. What is the GCD of 421, 728, 28, 307?

GCD of 421, 728, 28, 307 is 1

2. Where do I get the detailed procedure to find GCD of 421, 728, 28, 307?

You can find a detailed procedure to find GCD of 421, 728, 28, 307 on our page.

3. How to find GCD of 421, 728, 28, 307 on a calculator?

You can find the GCD of 421, 728, 28, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.