GCD of 730, 660, 329, 503 Calculator

Given Input numbers are 730, 660, 329, 503

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 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 503

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

1, 503

Greatest Common Divisior

We found the divisors of 730, 660, 329, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 660, 329, 503 is 1.

Therefore, GCD of numbers 730, 660, 329, 503 is 1

Given Input Data is 730, 660, 329, 503

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 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 329 is 7 x 47

Prime Factorization of 503 is 503

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, 660) = 48180

GCD(730, 660) = ( 730 x 660 ) / 48180

GCD(730, 660) = 481800 / 48180

GCD(730, 660) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 329

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

LCM(10, 329) = 3290

GCD(10, 329) = ( 10 x 329 ) / 3290

GCD(10, 329) = 3290 / 3290

GCD(10, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 503

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

LCM(1, 503) = 503

GCD(1, 503) = ( 1 x 503 ) / 503

GCD(1, 503) = 503 / 503

GCD(1, 503) = 1

GCD of 730, 660, 329, 503 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 939, 303, 435
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• GCD of 659, 420, 119, 505
• GCD of 353, 993, 388, 883
• GCD of 379, 506, 361, 284

1. What is the GCD of 730, 660, 329, 503?

GCD of 730, 660, 329, 503 is 1

2. Where do I get the detailed procedure to find GCD of 730, 660, 329, 503?

You can find a detailed procedure to find GCD of 730, 660, 329, 503 on our page.

3. How to find GCD of 730, 660, 329, 503 on a calculator?

You can find the GCD of 730, 660, 329, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.