GCD of 503, 132, 730, 502 Calculator

Given Input numbers are 503, 132, 730, 502

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

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 503, 132, 730, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 132, 730, 502 is 1.

Therefore, GCD of numbers 503, 132, 730, 502 is 1

Given Input Data is 503, 132, 730, 502

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

Prime Factorization of 503 is 503

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 502 is 2 x 251

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(503, 132) = 66396

GCD(503, 132) = ( 503 x 132 ) / 66396

GCD(503, 132) = 66396 / 66396

GCD(503, 132) = 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 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 503, 132, 730, 502 is 1

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1. What is the GCD of 503, 132, 730, 502?

GCD of 503, 132, 730, 502 is 1

2. Where do I get the detailed procedure to find GCD of 503, 132, 730, 502?

You can find a detailed procedure to find GCD of 503, 132, 730, 502 on our page.

3. How to find GCD of 503, 132, 730, 502 on a calculator?

You can find the GCD of 503, 132, 730, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.