GCD of 42, 495, 446, 474 Calculator

Given Input numbers are 42, 495, 446, 474

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 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 42, 495, 446, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 495, 446, 474 is 1.

Therefore, GCD of numbers 42, 495, 446, 474 is 1

Given Input Data is 42, 495, 446, 474

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 495 is 3 x 3 x 5 x 11

Prime Factorization of 446 is 2 x 223

Prime Factorization of 474 is 2 x 3 x 79

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, 495) = 6930

GCD(42, 495) = ( 42 x 495 ) / 6930

GCD(42, 495) = 20790 / 6930

GCD(42, 495) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 446

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

LCM(3, 446) = 1338

GCD(3, 446) = ( 3 x 446 ) / 1338

GCD(3, 446) = 1338 / 1338

GCD(3, 446) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 42, 495, 446, 474 is 1

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1. What is the GCD of 42, 495, 446, 474?

GCD of 42, 495, 446, 474 is 1

2. Where do I get the detailed procedure to find GCD of 42, 495, 446, 474?

You can find a detailed procedure to find GCD of 42, 495, 446, 474 on our page.

3. How to find GCD of 42, 495, 446, 474 on a calculator?

You can find the GCD of 42, 495, 446, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.