GCD of 728, 531, 483, 980 Calculator

Given Input numbers are 728, 531, 483, 980

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 728, 531, 483, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 531, 483, 980 is 1.

Therefore, GCD of numbers 728, 531, 483, 980 is 1

Given Input Data is 728, 531, 483, 980

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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(728, 531) = 386568

GCD(728, 531) = ( 728 x 531 ) / 386568

GCD(728, 531) = 386568 / 386568

GCD(728, 531) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 483

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

LCM(1, 483) = 483

GCD(1, 483) = ( 1 x 483 ) / 483

GCD(1, 483) = 483 / 483

GCD(1, 483) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 728, 531, 483, 980 is 1

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1. What is the GCD of 728, 531, 483, 980?

GCD of 728, 531, 483, 980 is 1

2. Where do I get the detailed procedure to find GCD of 728, 531, 483, 980?

You can find a detailed procedure to find GCD of 728, 531, 483, 980 on our page.

3. How to find GCD of 728, 531, 483, 980 on a calculator?

You can find the GCD of 728, 531, 483, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.