GCD of 171, 407, 820, 520 Calculator

Given Input numbers are 171, 407, 820, 520

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 171, 407, 820, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 407, 820, 520 is 1.

Therefore, GCD of numbers 171, 407, 820, 520 is 1

Given Input Data is 171, 407, 820, 520

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 407 is 11 x 37

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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, 407) = 69597

GCD(171, 407) = ( 171 x 407 ) / 69597

GCD(171, 407) = 69597 / 69597

GCD(171, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 171, 407, 820, 520 is 1

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• GCD of 587, 734, 394, 895

1. What is the GCD of 171, 407, 820, 520?

GCD of 171, 407, 820, 520 is 1

2. Where do I get the detailed procedure to find GCD of 171, 407, 820, 520?

You can find a detailed procedure to find GCD of 171, 407, 820, 520 on our page.

3. How to find GCD of 171, 407, 820, 520 on a calculator?

You can find the GCD of 171, 407, 820, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.