GCD of 493, 782, 784, 990 Calculator

Given Input numbers are 493, 782, 784, 990

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

Divisors of 493

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

1, 17, 29, 493

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 493, 782, 784, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 782, 784, 990 is 1.

Therefore, GCD of numbers 493, 782, 784, 990 is 1

Given Input Data is 493, 782, 784, 990

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 990 is 2 x 3 x 3 x 5 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(493, 782) = 22678

GCD(493, 782) = ( 493 x 782 ) / 22678

GCD(493, 782) = 385526 / 22678

GCD(493, 782) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 784

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

LCM(17, 784) = 13328

GCD(17, 784) = ( 17 x 784 ) / 13328

GCD(17, 784) = 13328 / 13328

GCD(17, 784) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 493, 782, 784, 990 is 1

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1. What is the GCD of 493, 782, 784, 990?

GCD of 493, 782, 784, 990 is 1

2. Where do I get the detailed procedure to find GCD of 493, 782, 784, 990?

You can find a detailed procedure to find GCD of 493, 782, 784, 990 on our page.

3. How to find GCD of 493, 782, 784, 990 on a calculator?

You can find the GCD of 493, 782, 784, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.