GCD of 301, 630, 514 Calculator

Given Input numbers are 301, 630, 514

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 301, 630, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 630, 514 is 1.

Therefore, GCD of numbers 301, 630, 514 is 1

Given Input Data is 301, 630, 514

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 514 is 2 x 257

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(301, 630) = 27090

GCD(301, 630) = ( 301 x 630 ) / 27090

GCD(301, 630) = 189630 / 27090

GCD(301, 630) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 514

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

LCM(7, 514) = 3598

GCD(7, 514) = ( 7 x 514 ) / 3598

GCD(7, 514) = 3598 / 3598

GCD(7, 514) = 1

GCD of 301, 630, 514 is 1

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1. What is the GCD of 301, 630, 514?

GCD of 301, 630, 514 is 1

2. Where do I get the detailed procedure to find GCD of 301, 630, 514?

You can find a detailed procedure to find GCD of 301, 630, 514 on our page.

3. How to find GCD of 301, 630, 514 on a calculator?

You can find the GCD of 301, 630, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.