GCD of 784, 720, 56, 517 Calculator

Given Input numbers are 784, 720, 56, 517

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 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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 784, 720, 56, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 720, 56, 517 is 1.

Therefore, GCD of numbers 784, 720, 56, 517 is 1

Given Input Data is 784, 720, 56, 517

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 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 517 is 11 x 47

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, 720) = 35280

GCD(784, 720) = ( 784 x 720 ) / 35280

GCD(784, 720) = 564480 / 35280

GCD(784, 720) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 56

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

LCM(16, 56) = 112

GCD(16, 56) = ( 16 x 56 ) / 112

GCD(16, 56) = 896 / 112

GCD(16, 56) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 517

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

LCM(8, 517) = 4136

GCD(8, 517) = ( 8 x 517 ) / 4136

GCD(8, 517) = 4136 / 4136

GCD(8, 517) = 1

GCD of 784, 720, 56, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 486, 81, 299
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• GCD of 530, 400, 35, 788
• GCD of 132, 536, 58, 848
• GCD of 954, 216, 66, 813

1. What is the GCD of 784, 720, 56, 517?

GCD of 784, 720, 56, 517 is 1

2. Where do I get the detailed procedure to find GCD of 784, 720, 56, 517?

You can find a detailed procedure to find GCD of 784, 720, 56, 517 on our page.

3. How to find GCD of 784, 720, 56, 517 on a calculator?

You can find the GCD of 784, 720, 56, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.