GCD of 363, 810, 39, 974 Calculator

Given Input numbers are 363, 810, 39, 974

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

Divisors of 363

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

1, 3, 11, 33, 121, 363

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 363, 810, 39, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 810, 39, 974 is 1.

Therefore, GCD of numbers 363, 810, 39, 974 is 1

Given Input Data is 363, 810, 39, 974

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 39 is 3 x 13

Prime Factorization of 974 is 2 x 487

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(363, 810) = 98010

GCD(363, 810) = ( 363 x 810 ) / 98010

GCD(363, 810) = 294030 / 98010

GCD(363, 810) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 974

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

LCM(3, 974) = 2922

GCD(3, 974) = ( 3 x 974 ) / 2922

GCD(3, 974) = 2922 / 2922

GCD(3, 974) = 1

GCD of 363, 810, 39, 974 is 1

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1. What is the GCD of 363, 810, 39, 974?

GCD of 363, 810, 39, 974 is 1

2. Where do I get the detailed procedure to find GCD of 363, 810, 39, 974?

You can find a detailed procedure to find GCD of 363, 810, 39, 974 on our page.

3. How to find GCD of 363, 810, 39, 974 on a calculator?

You can find the GCD of 363, 810, 39, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.