GCD of 820, 830, 363 Calculator

Given Input numbers are 820, 830, 363

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 820, 830, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 830, 363 is 1.

Therefore, GCD of numbers 820, 830, 363 is 1

Given Input Data is 820, 830, 363

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 363 is 3 x 11 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(820, 830) = 68060

GCD(820, 830) = ( 820 x 830 ) / 68060

GCD(820, 830) = 680600 / 68060

GCD(820, 830) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 363

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

LCM(10, 363) = 3630

GCD(10, 363) = ( 10 x 363 ) / 3630

GCD(10, 363) = 3630 / 3630

GCD(10, 363) = 1

GCD of 820, 830, 363 is 1

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1. What is the GCD of 820, 830, 363?

GCD of 820, 830, 363 is 1

2. Where do I get the detailed procedure to find GCD of 820, 830, 363?

You can find a detailed procedure to find GCD of 820, 830, 363 on our page.

3. How to find GCD of 820, 830, 363 on a calculator?

You can find the GCD of 820, 830, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.