GCD of 471, 313, 58, 825 Calculator

Given Input numbers are 471, 313, 58, 825

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 58

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

1, 2, 29, 58

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 471, 313, 58, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 313, 58, 825 is 1.

Therefore, GCD of numbers 471, 313, 58, 825 is 1

Given Input Data is 471, 313, 58, 825

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 313 is 313

Prime Factorization of 58 is 2 x 29

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(471, 313) = 147423

GCD(471, 313) = ( 471 x 313 ) / 147423

GCD(471, 313) = 147423 / 147423

GCD(471, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 471, 313, 58, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 198, 21, 765
• GCD of 163, 241, 31, 448
• GCD of 561, 872, 62, 228
• GCD of 325, 480, 65, 779
• GCD of 403, 392, 28, 124

1. What is the GCD of 471, 313, 58, 825?

GCD of 471, 313, 58, 825 is 1

2. Where do I get the detailed procedure to find GCD of 471, 313, 58, 825?

You can find a detailed procedure to find GCD of 471, 313, 58, 825 on our page.

3. How to find GCD of 471, 313, 58, 825 on a calculator?

You can find the GCD of 471, 313, 58, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.