GCD of 171, 478, 71, 815 Calculator

Given Input numbers are 171, 478, 71, 815

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 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Greatest Common Divisior

We found the divisors of 171, 478, 71, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 478, 71, 815 is 1.

Therefore, GCD of numbers 171, 478, 71, 815 is 1

Given Input Data is 171, 478, 71, 815

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 478 is 2 x 239

Prime Factorization of 71 is 71

Prime Factorization of 815 is 5 x 163

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, 478) = 81738

GCD(171, 478) = ( 171 x 478 ) / 81738

GCD(171, 478) = 81738 / 81738

GCD(171, 478) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 815

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

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

GCD(1, 815) = 815 / 815

GCD(1, 815) = 1

GCD of 171, 478, 71, 815 is 1

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• GCD of 929, 265, 77, 648
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1. What is the GCD of 171, 478, 71, 815?

GCD of 171, 478, 71, 815 is 1

2. Where do I get the detailed procedure to find GCD of 171, 478, 71, 815?

You can find a detailed procedure to find GCD of 171, 478, 71, 815 on our page.

3. How to find GCD of 171, 478, 71, 815 on a calculator?

You can find the GCD of 171, 478, 71, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.