GCD of 159, 812, 105 Calculator

Given Input numbers are 159, 812, 105

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 105

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

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

Greatest Common Divisior

We found the divisors of 159, 812, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 812, 105 is 1.

Therefore, GCD of numbers 159, 812, 105 is 1

Given Input Data is 159, 812, 105

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 105 is 3 x 5 x 7

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(159, 812) = 129108

GCD(159, 812) = ( 159 x 812 ) / 129108

GCD(159, 812) = 129108 / 129108

GCD(159, 812) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 159, 812, 105 is 1

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1. What is the GCD of 159, 812, 105?

GCD of 159, 812, 105 is 1

2. Where do I get the detailed procedure to find GCD of 159, 812, 105?

You can find a detailed procedure to find GCD of 159, 812, 105 on our page.

3. How to find GCD of 159, 812, 105 on a calculator?

You can find the GCD of 159, 812, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.