GCD of 171, 100, 813 Calculator

Given Input numbers are 171, 100, 813

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 171, 100, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 100, 813 is 1.

Therefore, GCD of numbers 171, 100, 813 is 1

Given Input Data is 171, 100, 813

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 813 is 3 x 271

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(171, 100) = 17100

GCD(171, 100) = ( 171 x 100 ) / 17100

GCD(171, 100) = 17100 / 17100

GCD(171, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 171, 100, 813 is 1

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1. What is the GCD of 171, 100, 813?

GCD of 171, 100, 813 is 1

2. Where do I get the detailed procedure to find GCD of 171, 100, 813?

You can find a detailed procedure to find GCD of 171, 100, 813 on our page.

3. How to find GCD of 171, 100, 813 on a calculator?

You can find the GCD of 171, 100, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.