GCD of 125, 493, 830, 509 Calculator

Given Input numbers are 125, 493, 830, 509

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

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 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 125, 493, 830, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 493, 830, 509 is 1.

Therefore, GCD of numbers 125, 493, 830, 509 is 1

Given Input Data is 125, 493, 830, 509

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 493 is 17 x 29

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 509 is 509

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(125, 493) = 61625

GCD(125, 493) = ( 125 x 493 ) / 61625

GCD(125, 493) = 61625 / 61625

GCD(125, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 125, 493, 830, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 917, 285, 367
• GCD of 200, 911, 830, 680
• GCD of 261, 995, 252, 869
• GCD of 156, 626, 187, 919
• GCD of 945, 777, 803, 667

1. What is the GCD of 125, 493, 830, 509?

GCD of 125, 493, 830, 509 is 1

2. Where do I get the detailed procedure to find GCD of 125, 493, 830, 509?

You can find a detailed procedure to find GCD of 125, 493, 830, 509 on our page.

3. How to find GCD of 125, 493, 830, 509 on a calculator?

You can find the GCD of 125, 493, 830, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.