GCD of 497, 259, 113, 982 Calculator

Given Input numbers are 497, 259, 113, 982

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

Divisors of 497

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

1, 7, 71, 497

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

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 497, 259, 113, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 259, 113, 982 is 1.

Therefore, GCD of numbers 497, 259, 113, 982 is 1

Given Input Data is 497, 259, 113, 982

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 259 is 7 x 37

Prime Factorization of 113 is 113

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(497, 259) = 18389

GCD(497, 259) = ( 497 x 259 ) / 18389

GCD(497, 259) = 128723 / 18389

GCD(497, 259) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 113

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

LCM(7, 113) = 791

GCD(7, 113) = ( 7 x 113 ) / 791

GCD(7, 113) = 791 / 791

GCD(7, 113) = 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 497, 259, 113, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 795, 352, 493
• GCD of 261, 760, 498, 490
• GCD of 113, 523, 527, 244
• GCD of 365, 122, 385, 709
• GCD of 689, 343, 335, 356

1. What is the GCD of 497, 259, 113, 982?

GCD of 497, 259, 113, 982 is 1

2. Where do I get the detailed procedure to find GCD of 497, 259, 113, 982?

You can find a detailed procedure to find GCD of 497, 259, 113, 982 on our page.

3. How to find GCD of 497, 259, 113, 982 on a calculator?

You can find the GCD of 497, 259, 113, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.