GCD of 375, 728, 20, 982 Calculator

Given Input numbers are 375, 728, 20, 982

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 375, 728, 20, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 728, 20, 982 is 1.

Therefore, GCD of numbers 375, 728, 20, 982 is 1

Given Input Data is 375, 728, 20, 982

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 982 is 2 x 491

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(375, 728) = 273000

GCD(375, 728) = ( 375 x 728 ) / 273000

GCD(375, 728) = 273000 / 273000

GCD(375, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 375, 728, 20, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 510, 28, 771
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• GCD of 527, 175, 97, 505

1. What is the GCD of 375, 728, 20, 982?

GCD of 375, 728, 20, 982 is 1

2. Where do I get the detailed procedure to find GCD of 375, 728, 20, 982?

You can find a detailed procedure to find GCD of 375, 728, 20, 982 on our page.

3. How to find GCD of 375, 728, 20, 982 on a calculator?

You can find the GCD of 375, 728, 20, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.