GCD of 106, 185, 495, 462 Calculator

Given Input numbers are 106, 185, 495, 462

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

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 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

Greatest Common Divisior

We found the divisors of 106, 185, 495, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 185, 495, 462 is 1.

Therefore, GCD of numbers 106, 185, 495, 462 is 1

Given Input Data is 106, 185, 495, 462

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 185 is 5 x 37

Prime Factorization of 495 is 3 x 3 x 5 x 11

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

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(106, 185) = 19610

GCD(106, 185) = ( 106 x 185 ) / 19610

GCD(106, 185) = 19610 / 19610

GCD(106, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 495

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

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

GCD(1, 495) = 495 / 495

GCD(1, 495) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 106, 185, 495, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 532, 574, 100
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• GCD of 354, 955, 868, 558

1. What is the GCD of 106, 185, 495, 462?

GCD of 106, 185, 495, 462 is 1

2. Where do I get the detailed procedure to find GCD of 106, 185, 495, 462?

You can find a detailed procedure to find GCD of 106, 185, 495, 462 on our page.

3. How to find GCD of 106, 185, 495, 462 on a calculator?

You can find the GCD of 106, 185, 495, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.