GCD of 171, 821, 205 Calculator

Given Input numbers are 171, 821, 205

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 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 171, 821, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 821, 205 is 1.

Therefore, GCD of numbers 171, 821, 205 is 1

Given Input Data is 171, 821, 205

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 821 is 821

Prime Factorization of 205 is 5 x 41

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, 821) = 140391

GCD(171, 821) = ( 171 x 821 ) / 140391

GCD(171, 821) = 140391 / 140391

GCD(171, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 171, 821, 205 is 1

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• GCD of 981, 423, 268
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• GCD of 399, 132, 816
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1. What is the GCD of 171, 821, 205?

GCD of 171, 821, 205 is 1

2. Where do I get the detailed procedure to find GCD of 171, 821, 205?

You can find a detailed procedure to find GCD of 171, 821, 205 on our page.

3. How to find GCD of 171, 821, 205 on a calculator?

You can find the GCD of 171, 821, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.