GCD of 728, 371, 62, 582 Calculator

Given Input numbers are 728, 371, 62, 582

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 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 728, 371, 62, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 371, 62, 582 is 1.

Therefore, GCD of numbers 728, 371, 62, 582 is 1

Given Input Data is 728, 371, 62, 582

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 371 is 7 x 53

Prime Factorization of 62 is 2 x 31

Prime Factorization of 582 is 2 x 3 x 97

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, 371) = 38584

GCD(728, 371) = ( 728 x 371 ) / 38584

GCD(728, 371) = 270088 / 38584

GCD(728, 371) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 62

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

LCM(7, 62) = 434

GCD(7, 62) = ( 7 x 62 ) / 434

GCD(7, 62) = 434 / 434

GCD(7, 62) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

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

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

GCD of 728, 371, 62, 582 is 1

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1. What is the GCD of 728, 371, 62, 582?

GCD of 728, 371, 62, 582 is 1

2. Where do I get the detailed procedure to find GCD of 728, 371, 62, 582?

You can find a detailed procedure to find GCD of 728, 371, 62, 582 on our page.

3. How to find GCD of 728, 371, 62, 582 on a calculator?

You can find the GCD of 728, 371, 62, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.