GCD of 830, 513, 903, 314 Calculator

Given Input numbers are 830, 513, 903, 314

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 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 830, 513, 903, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 513, 903, 314 is 1.

Therefore, GCD of numbers 830, 513, 903, 314 is 1

Given Input Data is 830, 513, 903, 314

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 513 is 3 x 3 x 3 x 19

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 314 is 2 x 157

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, 513) = 425790

GCD(830, 513) = ( 830 x 513 ) / 425790

GCD(830, 513) = 425790 / 425790

GCD(830, 513) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 903

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

LCM(1, 903) = 903

GCD(1, 903) = ( 1 x 903 ) / 903

GCD(1, 903) = 903 / 903

GCD(1, 903) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 830, 513, 903, 314 is 1

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1. What is the GCD of 830, 513, 903, 314?

GCD of 830, 513, 903, 314 is 1

2. Where do I get the detailed procedure to find GCD of 830, 513, 903, 314?

You can find a detailed procedure to find GCD of 830, 513, 903, 314 on our page.

3. How to find GCD of 830, 513, 903, 314 on a calculator?

You can find the GCD of 830, 513, 903, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.