GCD of 784, 442, 520, 763 Calculator

Given Input numbers are 784, 442, 520, 763

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

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 784, 442, 520, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 442, 520, 763 is 1.

Therefore, GCD of numbers 784, 442, 520, 763 is 1

Given Input Data is 784, 442, 520, 763

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

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 763 is 7 x 109

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(784, 442) = 173264

GCD(784, 442) = ( 784 x 442 ) / 173264

GCD(784, 442) = 346528 / 173264

GCD(784, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 520

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

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

GCD(2, 520) = 1040 / 520

GCD(2, 520) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 763

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

LCM(2, 763) = 1526

GCD(2, 763) = ( 2 x 763 ) / 1526

GCD(2, 763) = 1526 / 1526

GCD(2, 763) = 1

GCD of 784, 442, 520, 763 is 1

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1. What is the GCD of 784, 442, 520, 763?

GCD of 784, 442, 520, 763 is 1

2. Where do I get the detailed procedure to find GCD of 784, 442, 520, 763?

You can find a detailed procedure to find GCD of 784, 442, 520, 763 on our page.

3. How to find GCD of 784, 442, 520, 763 on a calculator?

You can find the GCD of 784, 442, 520, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.