GCD of 462, 358, 285, 106 Calculator

Given Input numbers are 462, 358, 285, 106

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

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 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 106

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

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 462, 358, 285, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 358, 285, 106 is 1.

Therefore, GCD of numbers 462, 358, 285, 106 is 1

Given Input Data is 462, 358, 285, 106

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

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 106 is 2 x 53

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(462, 358) = 82698

GCD(462, 358) = ( 462 x 358 ) / 82698

GCD(462, 358) = 165396 / 82698

GCD(462, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 285

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

LCM(2, 285) = 570

GCD(2, 285) = ( 2 x 285 ) / 570

GCD(2, 285) = 570 / 570

GCD(2, 285) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 462, 358, 285, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 355, 789, 947
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• GCD of 866, 183, 856, 226

1. What is the GCD of 462, 358, 285, 106?

GCD of 462, 358, 285, 106 is 1

2. Where do I get the detailed procedure to find GCD of 462, 358, 285, 106?

You can find a detailed procedure to find GCD of 462, 358, 285, 106 on our page.

3. How to find GCD of 462, 358, 285, 106 on a calculator?

You can find the GCD of 462, 358, 285, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.