GCD of 730, 517, 28, 846 Calculator

Given Input numbers are 730, 517, 28, 846

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

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 517

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

1, 11, 47, 517

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 730, 517, 28, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 517, 28, 846 is 1.

Therefore, GCD of numbers 730, 517, 28, 846 is 1

Given Input Data is 730, 517, 28, 846

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 517 is 11 x 47

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 846 is 2 x 3 x 3 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(730, 517) = 377410

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

GCD(730, 517) = 377410 / 377410

GCD(730, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

GCD of 730, 517, 28, 846 is 1

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1. What is the GCD of 730, 517, 28, 846?

GCD of 730, 517, 28, 846 is 1

2. Where do I get the detailed procedure to find GCD of 730, 517, 28, 846?

You can find a detailed procedure to find GCD of 730, 517, 28, 846 on our page.

3. How to find GCD of 730, 517, 28, 846 on a calculator?

You can find the GCD of 730, 517, 28, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.