GCD of 474, 462, 481, 109 Calculator

Given Input numbers are 474, 462, 481, 109

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

Divisors of 474

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

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 474, 462, 481, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 462, 481, 109 is 1.

Therefore, GCD of numbers 474, 462, 481, 109 is 1

Given Input Data is 474, 462, 481, 109

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 481 is 13 x 37

Prime Factorization of 109 is 109

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(474, 462) = 36498

GCD(474, 462) = ( 474 x 462 ) / 36498

GCD(474, 462) = 218988 / 36498

GCD(474, 462) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 481

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

LCM(6, 481) = 2886

GCD(6, 481) = ( 6 x 481 ) / 2886

GCD(6, 481) = 2886 / 2886

GCD(6, 481) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 474, 462, 481, 109 is 1

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1. What is the GCD of 474, 462, 481, 109?

GCD of 474, 462, 481, 109 is 1

2. Where do I get the detailed procedure to find GCD of 474, 462, 481, 109?

You can find a detailed procedure to find GCD of 474, 462, 481, 109 on our page.

3. How to find GCD of 474, 462, 481, 109 on a calculator?

You can find the GCD of 474, 462, 481, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.