GCD of 105, 855, 463, 408 Calculator

Given Input numbers are 105, 855, 463, 408

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 105, 855, 463, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 855, 463, 408 is 1.

Therefore, GCD of numbers 105, 855, 463, 408 is 1

Given Input Data is 105, 855, 463, 408

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 463 is 463

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(105, 855) = 5985

GCD(105, 855) = ( 105 x 855 ) / 5985

GCD(105, 855) = 89775 / 5985

GCD(105, 855) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 463

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

LCM(15, 463) = 6945

GCD(15, 463) = ( 15 x 463 ) / 6945

GCD(15, 463) = 6945 / 6945

GCD(15, 463) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 105, 855, 463, 408 is 1

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1. What is the GCD of 105, 855, 463, 408?

GCD of 105, 855, 463, 408 is 1

2. Where do I get the detailed procedure to find GCD of 105, 855, 463, 408?

You can find a detailed procedure to find GCD of 105, 855, 463, 408 on our page.

3. How to find GCD of 105, 855, 463, 408 on a calculator?

You can find the GCD of 105, 855, 463, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.