GCD of 42, 800, 805, 994 Calculator

Given Input numbers are 42, 800, 805, 994

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 42, 800, 805, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 800, 805, 994 is 1.

Therefore, GCD of numbers 42, 800, 805, 994 is 1

Given Input Data is 42, 800, 805, 994

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 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 994 is 2 x 7 x 71

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, 800) = 16800

GCD(42, 800) = ( 42 x 800 ) / 16800

GCD(42, 800) = 33600 / 16800

GCD(42, 800) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 805

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

LCM(2, 805) = 1610

GCD(2, 805) = ( 2 x 805 ) / 1610

GCD(2, 805) = 1610 / 1610

GCD(2, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 42, 800, 805, 994 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 236, 664, 902
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• GCD of 38, 607, 994, 925
• GCD of 84, 657, 235, 519

1. What is the GCD of 42, 800, 805, 994?

GCD of 42, 800, 805, 994 is 1

2. Where do I get the detailed procedure to find GCD of 42, 800, 805, 994?

You can find a detailed procedure to find GCD of 42, 800, 805, 994 on our page.

3. How to find GCD of 42, 800, 805, 994 on a calculator?

You can find the GCD of 42, 800, 805, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.