GCD of 517, 730, 61, 728 Calculator

Given Input numbers are 517, 730, 61, 728

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

Divisors of 517

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

1, 11, 47, 517

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 517, 730, 61, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 730, 61, 728 is 1.

Therefore, GCD of numbers 517, 730, 61, 728 is 1

Given Input Data is 517, 730, 61, 728

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 61 is 61

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(517, 730) = 377410

GCD(517, 730) = ( 517 x 730 ) / 377410

GCD(517, 730) = 377410 / 377410

GCD(517, 730) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 517, 730, 61, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 651, 81, 253
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• GCD of 934, 324, 24, 770

1. What is the GCD of 517, 730, 61, 728?

GCD of 517, 730, 61, 728 is 1

2. Where do I get the detailed procedure to find GCD of 517, 730, 61, 728?

You can find a detailed procedure to find GCD of 517, 730, 61, 728 on our page.

3. How to find GCD of 517, 730, 61, 728 on a calculator?

You can find the GCD of 517, 730, 61, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.