GCD of 58, 498, 824, 259 Calculator

Given Input numbers are 58, 498, 824, 259

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 259

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

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 58, 498, 824, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 498, 824, 259 is 1.

Therefore, GCD of numbers 58, 498, 824, 259 is 1

Given Input Data is 58, 498, 824, 259

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 259 is 7 x 37

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(58, 498) = 14442

GCD(58, 498) = ( 58 x 498 ) / 14442

GCD(58, 498) = 28884 / 14442

GCD(58, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 259

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

LCM(2, 259) = 518

GCD(2, 259) = ( 2 x 259 ) / 518

GCD(2, 259) = 518 / 518

GCD(2, 259) = 1

GCD of 58, 498, 824, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 997, 607, 489
• GCD of 83, 493, 617, 157
• GCD of 11, 106, 402, 865
• GCD of 24, 986, 146, 594
• GCD of 78, 228, 443, 585

1. What is the GCD of 58, 498, 824, 259?

GCD of 58, 498, 824, 259 is 1

2. Where do I get the detailed procedure to find GCD of 58, 498, 824, 259?

You can find a detailed procedure to find GCD of 58, 498, 824, 259 on our page.

3. How to find GCD of 58, 498, 824, 259 on a calculator?

You can find the GCD of 58, 498, 824, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.