GCD of 58, 300, 251, 441 Calculator

Given Input numbers are 58, 300, 251, 441

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 58, 300, 251, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 300, 251, 441 is 1.

Therefore, GCD of numbers 58, 300, 251, 441 is 1

Given Input Data is 58, 300, 251, 441

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 251 is 251

Prime Factorization of 441 is 3 x 3 x 7 x 7

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(58, 300) = 8700

GCD(58, 300) = ( 58 x 300 ) / 8700

GCD(58, 300) = 17400 / 8700

GCD(58, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 251

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

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

GCD(2, 251) = 502 / 502

GCD(2, 251) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 58, 300, 251, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 954, 647, 367
• GCD of 68, 771, 221, 809
• GCD of 32, 832, 557, 517
• GCD of 61, 109, 239, 926
• GCD of 97, 152, 531, 374

1. What is the GCD of 58, 300, 251, 441?

GCD of 58, 300, 251, 441 is 1

2. Where do I get the detailed procedure to find GCD of 58, 300, 251, 441?

You can find a detailed procedure to find GCD of 58, 300, 251, 441 on our page.

3. How to find GCD of 58, 300, 251, 441 on a calculator?

You can find the GCD of 58, 300, 251, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.