GCD of 58, 287, 800, 315 Calculator

Given Input numbers are 58, 287, 800, 315

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 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 58, 287, 800, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 287, 800, 315 is 1.

Therefore, GCD of numbers 58, 287, 800, 315 is 1

Given Input Data is 58, 287, 800, 315

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 287 is 7 x 41

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 315 is 3 x 3 x 5 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, 287) = 16646

GCD(58, 287) = ( 58 x 287 ) / 16646

GCD(58, 287) = 16646 / 16646

GCD(58, 287) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 58, 287, 800, 315 is 1

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1. What is the GCD of 58, 287, 800, 315?

GCD of 58, 287, 800, 315 is 1

2. Where do I get the detailed procedure to find GCD of 58, 287, 800, 315?

You can find a detailed procedure to find GCD of 58, 287, 800, 315 on our page.

3. How to find GCD of 58, 287, 800, 315 on a calculator?

You can find the GCD of 58, 287, 800, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.