GCD of 504, 730, 11, 543 Calculator

Given Input numbers are 504, 730, 11, 543

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 504, 730, 11, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 730, 11, 543 is 1.

Therefore, GCD of numbers 504, 730, 11, 543 is 1

Given Input Data is 504, 730, 11, 543

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 11 is 11

Prime Factorization of 543 is 3 x 181

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(504, 730) = 183960

GCD(504, 730) = ( 504 x 730 ) / 183960

GCD(504, 730) = 367920 / 183960

GCD(504, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 543

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

LCM(1, 543) = 543

GCD(1, 543) = ( 1 x 543 ) / 543

GCD(1, 543) = 543 / 543

GCD(1, 543) = 1

GCD of 504, 730, 11, 543 is 1

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1. What is the GCD of 504, 730, 11, 543?

GCD of 504, 730, 11, 543 is 1

2. Where do I get the detailed procedure to find GCD of 504, 730, 11, 543?

You can find a detailed procedure to find GCD of 504, 730, 11, 543 on our page.

3. How to find GCD of 504, 730, 11, 543 on a calculator?

You can find the GCD of 504, 730, 11, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.