GCD of 806, 480, 942, 423 Calculator

Given Input numbers are 806, 480, 942, 423

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 806, 480, 942, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 480, 942, 423 is 1.

Therefore, GCD of numbers 806, 480, 942, 423 is 1

Given Input Data is 806, 480, 942, 423

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 423 is 3 x 3 x 47

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(806, 480) = 193440

GCD(806, 480) = ( 806 x 480 ) / 193440

GCD(806, 480) = 386880 / 193440

GCD(806, 480) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 942

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

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

GCD(2, 942) = 1884 / 942

GCD(2, 942) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

GCD of 806, 480, 942, 423 is 1

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1. What is the GCD of 806, 480, 942, 423?

GCD of 806, 480, 942, 423 is 1

2. Where do I get the detailed procedure to find GCD of 806, 480, 942, 423?

You can find a detailed procedure to find GCD of 806, 480, 942, 423 on our page.

3. How to find GCD of 806, 480, 942, 423 on a calculator?

You can find the GCD of 806, 480, 942, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.