GCD of 83, 272, 730, 520 Calculator

Given Input numbers are 83, 272, 730, 520

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 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

Greatest Common Divisior

We found the divisors of 83, 272, 730, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 272, 730, 520 is 1.

Therefore, GCD of numbers 83, 272, 730, 520 is 1

Given Input Data is 83, 272, 730, 520

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

Prime Factorization of 83 is 83

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 520 is 2 x 2 x 2 x 5 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(83, 272) = 22576

GCD(83, 272) = ( 83 x 272 ) / 22576

GCD(83, 272) = 22576 / 22576

GCD(83, 272) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 83, 272, 730, 520 is 1

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• GCD of 42, 182, 549, 415
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• GCD of 63, 768, 416, 814

1. What is the GCD of 83, 272, 730, 520?

GCD of 83, 272, 730, 520 is 1

2. Where do I get the detailed procedure to find GCD of 83, 272, 730, 520?

You can find a detailed procedure to find GCD of 83, 272, 730, 520 on our page.

3. How to find GCD of 83, 272, 730, 520 on a calculator?

You can find the GCD of 83, 272, 730, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.