GCD of 784, 472, 783, 382 Calculator

Given Input numbers are 784, 472, 783, 382

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 784, 472, 783, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 472, 783, 382 is 1.

Therefore, GCD of numbers 784, 472, 783, 382 is 1

Given Input Data is 784, 472, 783, 382

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 472 is 2 x 2 x 2 x 59

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 382 is 2 x 191

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, 472) = 46256

GCD(784, 472) = ( 784 x 472 ) / 46256

GCD(784, 472) = 370048 / 46256

GCD(784, 472) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 783

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

LCM(8, 783) = 6264

GCD(8, 783) = ( 8 x 783 ) / 6264

GCD(8, 783) = 6264 / 6264

GCD(8, 783) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 784, 472, 783, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 520, 846, 247
• GCD of 565, 755, 543, 621
• GCD of 944, 471, 238, 507
• GCD of 806, 498, 405, 733
• GCD of 110, 349, 894, 229

1. What is the GCD of 784, 472, 783, 382?

GCD of 784, 472, 783, 382 is 1

2. Where do I get the detailed procedure to find GCD of 784, 472, 783, 382?

You can find a detailed procedure to find GCD of 784, 472, 783, 382 on our page.

3. How to find GCD of 784, 472, 783, 382 on a calculator?

You can find the GCD of 784, 472, 783, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.