GCD of 868, 420, 42, 823 Calculator

Given Input numbers are 868, 420, 42, 823

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 868, 420, 42, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 420, 42, 823 is 1.

Therefore, GCD of numbers 868, 420, 42, 823 is 1

Given Input Data is 868, 420, 42, 823

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 823 is 823

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(868, 420) = 13020

GCD(868, 420) = ( 868 x 420 ) / 13020

GCD(868, 420) = 364560 / 13020

GCD(868, 420) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 42

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

LCM(28, 42) = 84

GCD(28, 42) = ( 28 x 42 ) / 84

GCD(28, 42) = 1176 / 84

GCD(28, 42) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 823

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

LCM(14, 823) = 11522

GCD(14, 823) = ( 14 x 823 ) / 11522

GCD(14, 823) = 11522 / 11522

GCD(14, 823) = 1

GCD of 868, 420, 42, 823 is 1

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1. What is the GCD of 868, 420, 42, 823?

GCD of 868, 420, 42, 823 is 1

2. Where do I get the detailed procedure to find GCD of 868, 420, 42, 823?

You can find a detailed procedure to find GCD of 868, 420, 42, 823 on our page.

3. How to find GCD of 868, 420, 42, 823 on a calculator?

You can find the GCD of 868, 420, 42, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.