GCD of 823, 398, 720 Calculator

Given Input numbers are 823, 398, 720

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

Divisors of 823

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

1, 823

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 823, 398, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 398, 720 is 1.

Therefore, GCD of numbers 823, 398, 720 is 1

Given Input Data is 823, 398, 720

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

Prime Factorization of 823 is 823

Prime Factorization of 398 is 2 x 199

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(823, 398) = 327554

GCD(823, 398) = ( 823 x 398 ) / 327554

GCD(823, 398) = 327554 / 327554

GCD(823, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 823, 398, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 780, 474, 773
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1. What is the GCD of 823, 398, 720?

GCD of 823, 398, 720 is 1

2. Where do I get the detailed procedure to find GCD of 823, 398, 720?

You can find a detailed procedure to find GCD of 823, 398, 720 on our page.

3. How to find GCD of 823, 398, 720 on a calculator?

You can find the GCD of 823, 398, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.