GCD of 830, 644, 497, 982 Calculator

Given Input numbers are 830, 644, 497, 982

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 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

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 830, 644, 497, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 644, 497, 982 is 1.

Therefore, GCD of numbers 830, 644, 497, 982 is 1

Given Input Data is 830, 644, 497, 982

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 644 is 2 x 2 x 7 x 23

Prime Factorization of 497 is 7 x 71

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(830, 644) = 267260

GCD(830, 644) = ( 830 x 644 ) / 267260

GCD(830, 644) = 534520 / 267260

GCD(830, 644) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 497

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

LCM(2, 497) = 994

GCD(2, 497) = ( 2 x 497 ) / 994

GCD(2, 497) = 994 / 994

GCD(2, 497) = 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 830, 644, 497, 982 is 1

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1. What is the GCD of 830, 644, 497, 982?

GCD of 830, 644, 497, 982 is 1

2. Where do I get the detailed procedure to find GCD of 830, 644, 497, 982?

You can find a detailed procedure to find GCD of 830, 644, 497, 982 on our page.

3. How to find GCD of 830, 644, 497, 982 on a calculator?

You can find the GCD of 830, 644, 497, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.