GCD of 803, 982, 720, 496 Calculator

Given Input numbers are 803, 982, 720, 496

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

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 803, 982, 720, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 982, 720, 496 is 1.

Therefore, GCD of numbers 803, 982, 720, 496 is 1

Given Input Data is 803, 982, 720, 496

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

Prime Factorization of 803 is 11 x 73

Prime Factorization of 982 is 2 x 491

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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(803, 982) = 788546

GCD(803, 982) = ( 803 x 982 ) / 788546

GCD(803, 982) = 788546 / 788546

GCD(803, 982) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 803, 982, 720, 496 is 1

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1. What is the GCD of 803, 982, 720, 496?

GCD of 803, 982, 720, 496 is 1

2. Where do I get the detailed procedure to find GCD of 803, 982, 720, 496?

You can find a detailed procedure to find GCD of 803, 982, 720, 496 on our page.

3. How to find GCD of 803, 982, 720, 496 on a calculator?

You can find the GCD of 803, 982, 720, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.