GCD of 553, 784, 520, 382 Calculator

Given Input numbers are 553, 784, 520, 382

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

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 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 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 553, 784, 520, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 784, 520, 382 is 1.

Therefore, GCD of numbers 553, 784, 520, 382 is 1

Given Input Data is 553, 784, 520, 382

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

Prime Factorization of 553 is 7 x 79

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

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

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(553, 784) = 61936

GCD(553, 784) = ( 553 x 784 ) / 61936

GCD(553, 784) = 433552 / 61936

GCD(553, 784) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 520

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

LCM(7, 520) = 3640

GCD(7, 520) = ( 7 x 520 ) / 3640

GCD(7, 520) = 3640 / 3640

GCD(7, 520) = 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 553, 784, 520, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 302, 265, 385
• GCD of 646, 635, 790, 607
• GCD of 993, 385, 441, 855
• GCD of 541, 811, 739, 208
• GCD of 390, 467, 561, 756

1. What is the GCD of 553, 784, 520, 382?

GCD of 553, 784, 520, 382 is 1

2. Where do I get the detailed procedure to find GCD of 553, 784, 520, 382?

You can find a detailed procedure to find GCD of 553, 784, 520, 382 on our page.

3. How to find GCD of 553, 784, 520, 382 on a calculator?

You can find the GCD of 553, 784, 520, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.