GCD of 413, 978, 363, 630 Calculator

Given Input numbers are 413, 978, 363, 630

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

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

Greatest Common Divisior

We found the divisors of 413, 978, 363, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 978, 363, 630 is 1.

Therefore, GCD of numbers 413, 978, 363, 630 is 1

Given Input Data is 413, 978, 363, 630

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 363 is 3 x 11 x 11

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

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(413, 978) = 403914

GCD(413, 978) = ( 413 x 978 ) / 403914

GCD(413, 978) = 403914 / 403914

GCD(413, 978) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 630

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

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

GCD(1, 630) = 630 / 630

GCD(1, 630) = 1

GCD of 413, 978, 363, 630 is 1

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1. What is the GCD of 413, 978, 363, 630?

GCD of 413, 978, 363, 630 is 1

2. Where do I get the detailed procedure to find GCD of 413, 978, 363, 630?

You can find a detailed procedure to find GCD of 413, 978, 363, 630 on our page.

3. How to find GCD of 413, 978, 363, 630 on a calculator?

You can find the GCD of 413, 978, 363, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.