GCD of 42, 812, 363, 958 Calculator

Given Input numbers are 42, 812, 363, 958

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 363

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

1, 3, 11, 33, 121, 363

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 42, 812, 363, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 812, 363, 958 is 1.

Therefore, GCD of numbers 42, 812, 363, 958 is 1

Given Input Data is 42, 812, 363, 958

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 958 is 2 x 479

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(42, 812) = 2436

GCD(42, 812) = ( 42 x 812 ) / 2436

GCD(42, 812) = 34104 / 2436

GCD(42, 812) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 363

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

LCM(14, 363) = 5082

GCD(14, 363) = ( 14 x 363 ) / 5082

GCD(14, 363) = 5082 / 5082

GCD(14, 363) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 42, 812, 363, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 331, 578, 265
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• GCD of 40, 638, 645, 302
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• GCD of 53, 638, 884, 258

1. What is the GCD of 42, 812, 363, 958?

GCD of 42, 812, 363, 958 is 1

2. Where do I get the detailed procedure to find GCD of 42, 812, 363, 958?

You can find a detailed procedure to find GCD of 42, 812, 363, 958 on our page.

3. How to find GCD of 42, 812, 363, 958 on a calculator?

You can find the GCD of 42, 812, 363, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.