GCD of 713, 282, 20, 823 Calculator

Given Input numbers are 713, 282, 20, 823

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 713, 282, 20, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 282, 20, 823 is 1.

Therefore, GCD of numbers 713, 282, 20, 823 is 1

Given Input Data is 713, 282, 20, 823

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 823 is 823

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(713, 282) = 201066

GCD(713, 282) = ( 713 x 282 ) / 201066

GCD(713, 282) = 201066 / 201066

GCD(713, 282) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 713, 282, 20, 823 is 1

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1. What is the GCD of 713, 282, 20, 823?

GCD of 713, 282, 20, 823 is 1

2. Where do I get the detailed procedure to find GCD of 713, 282, 20, 823?

You can find a detailed procedure to find GCD of 713, 282, 20, 823 on our page.

3. How to find GCD of 713, 282, 20, 823 on a calculator?

You can find the GCD of 713, 282, 20, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.