GCD of 830, 982, 728 Calculator

Given Input numbers are 830, 982, 728

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 982

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

1, 2, 491, 982

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

Greatest Common Divisior

We found the divisors of 830, 982, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 982, 728 is 2.

Therefore, GCD of numbers 830, 982, 728 is 2

Given Input Data is 830, 982, 728

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 982 is 2 x 491

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(830, 982) = 407530

GCD(830, 982) = ( 830 x 982 ) / 407530

GCD(830, 982) = 815060 / 407530

GCD(830, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

GCD of 830, 982, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 535, 732
• GCD of 201, 117, 306
• GCD of 801, 119, 720
• GCD of 932, 131, 563
• GCD of 156, 944, 724

1. What is the GCD of 830, 982, 728?

GCD of 830, 982, 728 is 2

2. Where do I get the detailed procedure to find GCD of 830, 982, 728?

You can find a detailed procedure to find GCD of 830, 982, 728 on our page.

3. How to find GCD of 830, 982, 728 on a calculator?

You can find the GCD of 830, 982, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.