GCD of 491, 800, 830, 493 Calculator

Given Input numbers are 491, 800, 830, 493

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

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 491, 800, 830, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 800, 830, 493 is 1.

Therefore, GCD of numbers 491, 800, 830, 493 is 1

Given Input Data is 491, 800, 830, 493

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

Prime Factorization of 491 is 491

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 493 is 17 x 29

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(491, 800) = 392800

GCD(491, 800) = ( 491 x 800 ) / 392800

GCD(491, 800) = 392800 / 392800

GCD(491, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

GCD of 491, 800, 830, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 130, 719, 953
• GCD of 925, 345, 368, 884
• GCD of 583, 859, 875, 326
• GCD of 448, 441, 644, 670
• GCD of 433, 631, 964, 305

1. What is the GCD of 491, 800, 830, 493?

GCD of 491, 800, 830, 493 is 1

2. Where do I get the detailed procedure to find GCD of 491, 800, 830, 493?

You can find a detailed procedure to find GCD of 491, 800, 830, 493 on our page.

3. How to find GCD of 491, 800, 830, 493 on a calculator?

You can find the GCD of 491, 800, 830, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.