GCD of 730, 110, 413, 501 Calculator

Given Input numbers are 730, 110, 413, 501

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 730, 110, 413, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 110, 413, 501 is 1.

Therefore, GCD of numbers 730, 110, 413, 501 is 1

Given Input Data is 730, 110, 413, 501

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 110 is 2 x 5 x 11

Prime Factorization of 413 is 7 x 59

Prime Factorization of 501 is 3 x 167

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, 110) = 8030

GCD(730, 110) = ( 730 x 110 ) / 8030

GCD(730, 110) = 80300 / 8030

GCD(730, 110) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 413

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

LCM(10, 413) = 4130

GCD(10, 413) = ( 10 x 413 ) / 4130

GCD(10, 413) = 4130 / 4130

GCD(10, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 730, 110, 413, 501 is 1

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1. What is the GCD of 730, 110, 413, 501?

GCD of 730, 110, 413, 501 is 1

2. Where do I get the detailed procedure to find GCD of 730, 110, 413, 501?

You can find a detailed procedure to find GCD of 730, 110, 413, 501 on our page.

3. How to find GCD of 730, 110, 413, 501 on a calculator?

You can find the GCD of 730, 110, 413, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.